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Finding the Fourth Proportional to 402.74, 604.15 and 128.74

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Solution

The fourth proportional to 402.74, 604.15 and 128.74 is: 193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.74 : 604.15 = 128.74 : x
  2. Step 2: Convert to fraction form
    402.74/604.15 = 128.74/x
  3. Step 3: Cross multiply
    402.74x = 604.15 × 128.74
  4. Step 4: Simplify right side
    402.74x = 77,775.25
  5. Step 5: Solve for x
    x = 77,775.25/402.74
  6. Step 6: Final answer
    x = 193.12

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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.