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Finding the Fourth Proportional to 717.24, 989.88 and 422.52

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Solution

The fourth proportional to 717.24, 989.88 and 422.52 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.24 : 989.88 = 422.52 : x
  2. Step 2: Convert to fraction form
    717.24/989.88 = 422.52/x
  3. Step 3: Cross multiply
    717.24x = 989.88 × 422.52
  4. Step 4: Simplify right side
    717.24x = 418,244.10
  5. Step 5: Solve for x
    x = 418,244.10/717.24
  6. Step 6: Final answer
    x = 583.13

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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.