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Finding the Fourth Proportional to 717.56, 989.96 and 422.72

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Solution

The fourth proportional to 717.56, 989.96 and 422.72 is: 583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.56 : 989.96 = 422.72 : x
  2. Step 2: Convert to fraction form
    717.56/989.96 = 422.72/x
  3. Step 3: Cross multiply
    717.56x = 989.96 × 422.72
  4. Step 4: Simplify right side
    717.56x = 418,475.89
  5. Step 5: Solve for x
    x = 418,475.89/717.56
  6. Step 6: Final answer
    x = 583.19

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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.