  We report results of a ROSAT High-Resolution Imager (HRI) observation of the
X-ray error box given by the BeppoSAX Wide Field Camera for the gamma-ray burst
that occurred on 1997 February 28. The observation started 10 days after the
burst and ended three days later, with a total exposure of 34.3 ks. An X-ray
source was detected within the 3' WFC error box and its position determined
with a 10'' radius accuracy. The source position is in the BeppoSAX Narrow
Field Instrument source error box and is coincident (to within 2'') with the
optical transient associated with GRB970228. This is the most precise position
obtained for an X-ray afterglow and confirms that the X-ray and optical
afterglows have the same origin. We present the 0.1--2.4 keV combined HRI and
BeppoSAX Low-Energy Concentrator Spectrometer decay light curve which can be
well fit with a power-law. The decay is consistent with that measured at higher
energies (2--10 keV) with the BeppoSAX Medium-Energy Concentrator Spectrometer.
