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Finding the Fourth Proportional to 902.14, 1,353.19 and 252.87

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Solution

The fourth proportional to 902.14, 1,353.19 and 252.87 is: 379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,353.19 = 252.87 : x
  2. Step 2: Convert to fraction form
    902.14/1,353.19 = 252.87/x
  3. Step 3: Cross multiply
    902.14x = 1,353.19 × 252.87
  4. Step 4: Simplify right side
    902.14x = 342,181.16
  5. Step 5: Solve for x
    x = 342,181.16/902.14
  6. Step 6: Final answer
    x = 379.30

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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.