We perform a spatially resolved X-ray spectroscopic study of a set of 11 re
laxed clusters of galaxies observed by the ROSAT/PSPC and ASCA/SIS. Using a
method, which corrects for the energy-dependent effects of the ASCA point-
spread function based on ROSAT images, we constrain the spatial distributio
n of Ne, Si, S, and Fe in each cluster. Theoretical prescriptions for the c
hemical yields of Types Ia and II supernovae then allow determination of th
e Fe enrichment from both types of supernovae as a function of radius withi
n each cluster. Using optical measurements from the literature, we also det
ermine the iron mass-to-light ratio (IMLR) separately for Fe synthesized in
both types of supernovae. For clusters with the best photon statistics, we
find that the total Fe abundance decreases significantly with radius while
the Si abundance is either flat or decreases less rapidly, resulting in an
increasing Si/Fe ratio with radius. This result indicates a greater predom
inance of Type II supernova (SN) enrichment at large radii in clusters. On
average, the IMLR synthesized within Type II SNe increases with radius with
in clusters, while the IMLR synthesized within Type Ia SNe decreases. At a
fixed radius of 0.4 R-virial there is also a factor of 5 increase in the IM
LR synthesized by Type II SNe between groups and clusters. This suggests th
at groups expelled as much as 90% of the Fe synthesized within Type II SNe
at early times. All of these results are consistent with a scenario in whic
h the gas was initially heated and enriched by Type II SN-driven galactic w
inds. Because of the high entropy of the preheated gas, SN II products are
only weakly captured in groups. Gravitationally bound gas was then enriched
with elements synthesized by Type Ia supernovae as gas-rich galaxies accre
ted onto clusters and were stripped during passage through the cluster core
via density-dependent mechanisms (e.g., ram pressure ablation, galaxy hara
ssment, etc.). We suggest that the high Si/Fe ratios in the outskirts of ri
ch clusters may arise from enrichment by Type II SNe released to the intrac
luster medium via galactic starburst-driven winds. Low S/Fe ratios observed
in clusters suggest metal-poor galaxies as a major source of SN II product
s.