Compute the passing sight distance available given a $460-$ft curve, grades of g$1=+2\mathrm{.}00\%$ and g$2=1\mathrm{.}50\%,$ VPI at station $96+80,$ and elevation $845\mathrm{.}26$ ft$,$ stakeout at full stations. $($Assume h$1=3\mathrm{.}50$ft and h$2=4\mathrm{.}25$ft$)$

Express your answer in feet to five significant figures.