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Finding the Fourth Proportional to 892.25, 1,337.41 and 372.11

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Solution

The fourth proportional to 892.25, 1,337.41 and 372.11 is: 557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.25 : 1,337.41 = 372.11 : x
  2. Step 2: Convert to fraction form
    892.25/1,337.41 = 372.11/x
  3. Step 3: Cross multiply
    892.25x = 1,337.41 × 372.11
  4. Step 4: Simplify right side
    892.25x = 497,663.64
  5. Step 5: Solve for x
    x = 497,663.64/892.25
  6. Step 6: Final answer
    x = 557.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.