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Finding the Fourth Proportional to 902.28, 1,352.41 and 439.37

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Solution

The fourth proportional to 902.28, 1,352.41 and 439.37 is: 658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.28 : 1,352.41 = 439.37 : x
  2. Step 2: Convert to fraction form
    902.28/1,352.41 = 439.37/x
  3. Step 3: Cross multiply
    902.28x = 1,352.41 × 439.37
  4. Step 4: Simplify right side
    902.28x = 594,200.52
  5. Step 5: Solve for x
    x = 594,200.52/902.28
  6. Step 6: Final answer
    x = 658.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.