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Finding the Fourth Proportional to 337.71, 504.50 and 269.36

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Solution

The fourth proportional to 337.71, 504.50 and 269.36 is: 402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 504.50 = 269.36 : x
  2. Step 2: Convert to fraction form
    337.71/504.50 = 269.36/x
  3. Step 3: Cross multiply
    337.71x = 504.50 × 269.36
  4. Step 4: Simplify right side
    337.71x = 135,892.12
  5. Step 5: Solve for x
    x = 135,892.12/337.71
  6. Step 6: Final answer
    x = 402.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.