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Finding the Fourth Proportional to 402.89, 604.10 and 220.24

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Solution

The fourth proportional to 402.89, 604.10 and 220.24 is: 330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 604.10 = 220.24 : x
  2. Step 2: Convert to fraction form
    402.89/604.10 = 220.24/x
  3. Step 3: Cross multiply
    402.89x = 604.10 × 220.24
  4. Step 4: Simplify right side
    402.89x = 133,046.02
  5. Step 5: Solve for x
    x = 133,046.02/402.89
  6. Step 6: Final answer
    x = 330.23

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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.