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Finding the Fourth Proportional to 542.62, 748.11 and 355.78

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Solution

The fourth proportional to 542.62, 748.11 and 355.78 is: 490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.62 : 748.11 = 355.78 : x
  2. Step 2: Convert to fraction form
    542.62/748.11 = 355.78/x
  3. Step 3: Cross multiply
    542.62x = 748.11 × 355.78
  4. Step 4: Simplify right side
    542.62x = 266,164.85
  5. Step 5: Solve for x
    x = 266,164.85/542.62
  6. Step 6: Final answer
    x = 490.52

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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.