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Finding the Fourth Proportional to 512.96, 708.24 and 414.92

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Solution

The fourth proportional to 512.96, 708.24 and 414.92 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 708.24 = 414.92 : x
  2. Step 2: Convert to fraction form
    512.96/708.24 = 414.92/x
  3. Step 3: Cross multiply
    512.96x = 708.24 × 414.92
  4. Step 4: Simplify right side
    512.96x = 293,862.94
  5. Step 5: Solve for x
    x = 293,862.94/512.96
  6. Step 6: Final answer
    x = 572.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.