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Finding the Fourth Proportional to 402.71, 604.02 and 114.13

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Solution

The fourth proportional to 402.71, 604.02 and 114.13 is: 171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.71 : 604.02 = 114.13 : x
  2. Step 2: Convert to fraction form
    402.71/604.02 = 114.13/x
  3. Step 3: Cross multiply
    402.71x = 604.02 × 114.13
  4. Step 4: Simplify right side
    402.71x = 68,933.78
  5. Step 5: Solve for x
    x = 68,933.78/402.71
  6. Step 6: Final answer
    x = 171.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.