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Finding the Fourth Proportional to 408.57, 612.87 and 116.10

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Solution

The fourth proportional to 408.57, 612.87 and 116.10 is: 174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 612.87 = 116.10 : x
  2. Step 2: Convert to fraction form
    408.57/612.87 = 116.10/x
  3. Step 3: Cross multiply
    408.57x = 612.87 × 116.10
  4. Step 4: Simplify right side
    408.57x = 71,154.21
  5. Step 5: Solve for x
    x = 71,154.21/408.57
  6. Step 6: Final answer
    x = 174.15

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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.