Finding the Fourth Proportional to 578.52, 867.78 and 145.71
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Solution
The fourth proportional to 578.52, 867.78 and 145.71 is: 218.57
Step by Step Solution
- Step 1: Write the proportion equation
578.52 : 867.78 = 145.71 : x - Step 2: Convert to fraction form
578.52/867.78 = 145.71/x - Step 3: Cross multiply
578.52x = 867.78 × 145.71 - Step 4: Simplify right side
578.52x = 126,444.22 - Step 5: Solve for x
x = 126,444.22/578.52 - Step 6: Final answer
x = 218.57
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.