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Finding the Fourth Proportional to 814.31, 1,221.46 and 381.77

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Solution

The fourth proportional to 814.31, 1,221.46 and 381.77 is: 572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.31 : 1,221.46 = 381.77 : x
  2. Step 2: Convert to fraction form
    814.31/1,221.46 = 381.77/x
  3. Step 3: Cross multiply
    814.31x = 1,221.46 × 381.77
  4. Step 4: Simplify right side
    814.31x = 466,316.78
  5. Step 5: Solve for x
    x = 466,316.78/814.31
  6. Step 6: Final answer
    x = 572.65

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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.