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Finding the Fourth Proportional to 671.70, 927.09 and 422.85

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Solution

The fourth proportional to 671.70, 927.09 and 422.85 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.70 : 927.09 = 422.85 : x
  2. Step 2: Convert to fraction form
    671.70/927.09 = 422.85/x
  3. Step 3: Cross multiply
    671.70x = 927.09 × 422.85
  4. Step 4: Simplify right side
    671.70x = 392,020.01
  5. Step 5: Solve for x
    x = 392,020.01/671.70
  6. Step 6: Final answer
    x = 583.62

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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.