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Finding the Fourth Proportional to 542.46, 748.66 and 306.42

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Solution

The fourth proportional to 542.46, 748.66 and 306.42 is: 422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 748.66 = 306.42 : x
  2. Step 2: Convert to fraction form
    542.46/748.66 = 306.42/x
  3. Step 3: Cross multiply
    542.46x = 748.66 × 306.42
  4. Step 4: Simplify right side
    542.46x = 229,400.36
  5. Step 5: Solve for x
    x = 229,400.36/542.46
  6. Step 6: Final answer
    x = 422.89

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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.