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Finding the Fourth Proportional to 542.62, 748.41 and 402.74

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Solution

The fourth proportional to 542.62, 748.41 and 402.74 is: 555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.62 : 748.41 = 402.74 : x
  2. Step 2: Convert to fraction form
    542.62/748.41 = 402.74/x
  3. Step 3: Cross multiply
    542.62x = 748.41 × 402.74
  4. Step 4: Simplify right side
    542.62x = 301,414.64
  5. Step 5: Solve for x
    x = 301,414.64/542.62
  6. Step 6: Final answer
    x = 555.48

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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.