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The curve $$y = \frac{3}{2}\sqrt x, x \geq 0$$; the $$x$$-axis; the lines $$x - 1 = 0$$ and $$x - 4 = 0$$ form a closed region R in the first quadrant. A straight line $$y = mx$$ divides the region R into two parts of equal area. Then the value of $$m$$ is
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