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Finding the Fourth Proportional to 542.13, 748.16 and 306.09

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Solution

The fourth proportional to 542.13, 748.16 and 306.09 is: 422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.13 : 748.16 = 306.09 : x
  2. Step 2: Convert to fraction form
    542.13/748.16 = 306.09/x
  3. Step 3: Cross multiply
    542.13x = 748.16 × 306.09
  4. Step 4: Simplify right side
    542.13x = 229,004.29
  5. Step 5: Solve for x
    x = 229,004.29/542.13
  6. Step 6: Final answer
    x = 422.41

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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.