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Finding the Fourth Proportional to 542.16, 748.24 and 417.76

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Solution

The fourth proportional to 542.16, 748.24 and 417.76 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 748.24 = 417.76 : x
  2. Step 2: Convert to fraction form
    542.16/748.24 = 417.76/x
  3. Step 3: Cross multiply
    542.16x = 748.24 × 417.76
  4. Step 4: Simplify right side
    542.16x = 312,581.83
  5. Step 5: Solve for x
    x = 312,581.83/542.16
  6. Step 6: Final answer
    x = 576.55

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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.