Geometry problem

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ABCD is a convex quadrilateral with AC and BDintersecting at E. F is a point on AD such that EF is parallel to CD. It is given that the circumcircle of triangle AED is tangential to DC. If FD=336 and FA=420, what is ED?
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ABCD is a convex quadrilateral with AC and BDintersecting at E. F is a point on AD such that EF is parallel to CD. It is given that the circumcircle of triangle AED is tangential to DC. If FD=336 and FA=420, what is ED?

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