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Finding the Fourth Proportional to 539.25, 744.17 and 306.38

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Solution

The fourth proportional to 539.25, 744.17 and 306.38 is: 422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 744.17 = 306.38 : x
  2. Step 2: Convert to fraction form
    539.25/744.17 = 306.38/x
  3. Step 3: Cross multiply
    539.25x = 744.17 × 306.38
  4. Step 4: Simplify right side
    539.25x = 227,998.80
  5. Step 5: Solve for x
    x = 227,998.80/539.25
  6. Step 6: Final answer
    x = 422.81

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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.