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Finding the Fourth Proportional to 717.58, 990.25 and 422.87

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Solution

The fourth proportional to 717.58, 990.25 and 422.87 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.58 : 990.25 = 422.87 : x
  2. Step 2: Convert to fraction form
    717.58/990.25 = 422.87/x
  3. Step 3: Cross multiply
    717.58x = 990.25 × 422.87
  4. Step 4: Simplify right side
    717.58x = 418,747.02
  5. Step 5: Solve for x
    x = 418,747.02/717.58
  6. Step 6: Final answer
    x = 583.55

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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.