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Finding the Fourth Proportional to 717.47, 990.12 and 422.73

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Solution

The fourth proportional to 717.47, 990.12 and 422.73 is: 583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.47 : 990.12 = 422.73 : x
  2. Step 2: Convert to fraction form
    717.47/990.12 = 422.73/x
  3. Step 3: Cross multiply
    717.47x = 990.12 × 422.73
  4. Step 4: Simplify right side
    717.47x = 418,553.43
  5. Step 5: Solve for x
    x = 418,553.43/717.47
  6. Step 6: Final answer
    x = 583.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.