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Finding the Fourth Proportional to 532.92, 736.38 and 417.36

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Solution

The fourth proportional to 532.92, 736.38 and 417.36 is: 576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.92 : 736.38 = 417.36 : x
  2. Step 2: Convert to fraction form
    532.92/736.38 = 417.36/x
  3. Step 3: Cross multiply
    532.92x = 736.38 × 417.36
  4. Step 4: Simplify right side
    532.92x = 307,335.56
  5. Step 5: Solve for x
    x = 307,335.56/532.92
  6. Step 6: Final answer
    x = 576.70

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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.