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Finding the Fourth Proportional to 920.28, 1,380.42 and 372.78

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Solution

The fourth proportional to 920.28, 1,380.42 and 372.78 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.28 : 1,380.42 = 372.78 : x
  2. Step 2: Convert to fraction form
    920.28/1,380.42 = 372.78/x
  3. Step 3: Cross multiply
    920.28x = 1,380.42 × 372.78
  4. Step 4: Simplify right side
    920.28x = 514,592.97
  5. Step 5: Solve for x
    x = 514,592.97/920.28
  6. Step 6: Final answer
    x = 559.17

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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.