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Finding the Fourth Proportional to 542.14, 748.21 and 306.15

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Solution

The fourth proportional to 542.14, 748.21 and 306.15 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 748.21 = 306.15 : x
  2. Step 2: Convert to fraction form
    542.14/748.21 = 306.15/x
  3. Step 3: Cross multiply
    542.14x = 748.21 × 306.15
  4. Step 4: Simplify right side
    542.14x = 229,064.49
  5. Step 5: Solve for x
    x = 229,064.49/542.14
  6. Step 6: Final answer
    x = 422.52

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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.