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Finding the Fourth Proportional to 542.16, 748.20 and 306.12

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Solution

The fourth proportional to 542.16, 748.20 and 306.12 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 748.20 = 306.12 : x
  2. Step 2: Convert to fraction form
    542.16/748.20 = 306.12/x
  3. Step 3: Cross multiply
    542.16x = 748.20 × 306.12
  4. Step 4: Simplify right side
    542.16x = 229,038.98
  5. Step 5: Solve for x
    x = 229,038.98/542.16
  6. Step 6: Final answer
    x = 422.46

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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.