An ogive (cumulative frequency polygon) is plotted for the test scores of $400$ students. The coordinates of the vertices on the ogive are given by $(x, CF)$, where $x$ represents the upper boundary of a score class and $CF$ is the cumulative frequency:

$(50, 40), (60, 120), (70, 260), (80, 360), (90, 400)$

Using linear interpolation between the plotted vertices, what is the estimated score corresponding to the 80th percentile?