For the line segment whose endpoints are a(0, 0) and b(4, 3), find the x value for the point located 2 over 3 the distance from a to b.

The distance from two points is calculated through the equation,
                        distance = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the given values,
                       distance = sqrt ((4 - 0)² + (3 - 0)²) = 5
Dividing this distance by 5 equal parts and that from A to x,
                               2 = sqrt ((x - 0)² + (y - 0)²) ; 4 = x² + y²
Then for the next part,
                               3 = sqrt ((x - 4)² + (y - 3)²) ; 9 = (x - 4)² + (y - 3)²
The values of x and y from the equations are 1.6 and 1.2, respectively. 
The value of point x is (1.6, 1.2)

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