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Finding the Fourth Proportional to 717.56, 990.46 and 422.92

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Solution

The fourth proportional to 717.56, 990.46 and 422.92 is: 583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.56 : 990.46 = 422.92 : x
  2. Step 2: Convert to fraction form
    717.56/990.46 = 422.92/x
  3. Step 3: Cross multiply
    717.56x = 990.46 × 422.92
  4. Step 4: Simplify right side
    717.56x = 418,885.34
  5. Step 5: Solve for x
    x = 418,885.34/717.56
  6. Step 6: Final answer
    x = 583.76

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