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Finding the Fourth Proportional to 402.46, 604.04 and 229.47

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Solution

The fourth proportional to 402.46, 604.04 and 229.47 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 604.04 = 229.47 : x
  2. Step 2: Convert to fraction form
    402.46/604.04 = 229.47/x
  3. Step 3: Cross multiply
    402.46x = 604.04 × 229.47
  4. Step 4: Simplify right side
    402.46x = 138,607.91
  5. Step 5: Solve for x
    x = 138,607.91/402.46
  6. Step 6: Final answer
    x = 344.41

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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.