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Finding the Fourth Proportional to 542.13, 748.16 and 309.25

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Solution

The fourth proportional to 542.13, 748.16 and 309.25 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.13 : 748.16 = 309.25 : x
  2. Step 2: Convert to fraction form
    542.13/748.16 = 309.25/x
  3. Step 3: Cross multiply
    542.13x = 748.16 × 309.25
  4. Step 4: Simplify right side
    542.13x = 231,368.48
  5. Step 5: Solve for x
    x = 231,368.48/542.13
  6. Step 6: Final answer
    x = 426.78

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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.