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Finding the Fourth Proportional to 902.44, 1,353.17 and 285.97

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Solution

The fourth proportional to 902.44, 1,353.17 and 285.97 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.44 : 1,353.17 = 285.97 : x
  2. Step 2: Convert to fraction form
    902.44/1,353.17 = 285.97/x
  3. Step 3: Cross multiply
    902.44x = 1,353.17 × 285.97
  4. Step 4: Simplify right side
    902.44x = 386,966.02
  5. Step 5: Solve for x
    x = 386,966.02/902.44
  6. Step 6: Final answer
    x = 428.80

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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.