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Finding the Fourth Proportional to 667.31, 922.32 and 588.02

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Solution

The fourth proportional to 667.31, 922.32 and 588.02 is: 812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.31 : 922.32 = 588.02 : x
  2. Step 2: Convert to fraction form
    667.31/922.32 = 588.02/x
  3. Step 3: Cross multiply
    667.31x = 922.32 × 588.02
  4. Step 4: Simplify right side
    667.31x = 542,337.99
  5. Step 5: Solve for x
    x = 542,337.99/667.31
  6. Step 6: Final answer
    x = 812.73

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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.