************************************************************************* 62153 We propose ASCA observations of four clusters of galaxies found to be among the most X-ray luminous clusters in the sky in the ROSAT All-Sky Survey. These systems form part of a statistical sample of massive clusters selected from the XBACs and BCS cluster samples for an in- depth study of the mass distribution in clusters by combining X-ray mass determinations with those from observations of strong gravitational lensing. All targets proposed here for observation show giant gravitational arcs in deep CCD images obtained from Mauna Kea. Our combined X-ray/lensing approach will provide the most accurate and reliable measurement of cluster masses for a statistical sample to date and will allow a first determination of the cluster mass function. *************************************************************************