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Finding the Fourth Proportional to 902.14, 1,352.17 and 381.36

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Solution

The fourth proportional to 902.14, 1,352.17 and 381.36 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,352.17 = 381.36 : x
  2. Step 2: Convert to fraction form
    902.14/1,352.17 = 381.36/x
  3. Step 3: Cross multiply
    902.14x = 1,352.17 × 381.36
  4. Step 4: Simplify right side
    902.14x = 515,660.42
  5. Step 5: Solve for x
    x = 515,660.42/902.14
  6. Step 6: Final answer
    x = 571.60

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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.