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Finding the Fourth Proportional to 892.31, 1,338.08 and 423.92

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Solution

The fourth proportional to 892.31, 1,338.08 and 423.92 is: 635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.31 : 1,338.08 = 423.92 : x
  2. Step 2: Convert to fraction form
    892.31/1,338.08 = 423.92/x
  3. Step 3: Cross multiply
    892.31x = 1,338.08 × 423.92
  4. Step 4: Simplify right side
    892.31x = 567,230.06
  5. Step 5: Solve for x
    x = 567,230.06/892.31
  6. Step 6: Final answer
    x = 635.69

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Why These Related Problems?

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