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Finding the Fourth Proportional to 997.43, 1,496.52 and 381.27

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Solution

The fourth proportional to 997.43, 1,496.52 and 381.27 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.43 : 1,496.52 = 381.27 : x
  2. Step 2: Convert to fraction form
    997.43/1,496.52 = 381.27/x
  3. Step 3: Cross multiply
    997.43x = 1,496.52 × 381.27
  4. Step 4: Simplify right side
    997.43x = 570,576.27
  5. Step 5: Solve for x
    x = 570,576.27/997.43
  6. Step 6: Final answer
    x = 572.05

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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.