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Finding the Fourth Proportional to 892.24, 1,338.36 and 458.80

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Solution

The fourth proportional to 892.24, 1,338.36 and 458.80 is: 688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.24 : 1,338.36 = 458.80 : x
  2. Step 2: Convert to fraction form
    892.24/1,338.36 = 458.80/x
  3. Step 3: Cross multiply
    892.24x = 1,338.36 × 458.80
  4. Step 4: Simplify right side
    892.24x = 614,039.57
  5. Step 5: Solve for x
    x = 614,039.57/892.24
  6. Step 6: Final answer
    x = 688.20

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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.