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Finding the Fourth Proportional to 997.52, 1,496.10 and 380.90

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Solution

The fourth proportional to 997.52, 1,496.10 and 380.90 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.52 : 1,496.10 = 380.90 : x
  2. Step 2: Convert to fraction form
    997.52/1,496.10 = 380.90/x
  3. Step 3: Cross multiply
    997.52x = 1,496.10 × 380.90
  4. Step 4: Simplify right side
    997.52x = 569,864.49
  5. Step 5: Solve for x
    x = 569,864.49/997.52
  6. Step 6: Final answer
    x = 571.28

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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.