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Finding the Fourth Proportional to 408.47, 612.72 and 119.91

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Solution

The fourth proportional to 408.47, 612.72 and 119.91 is: 179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 612.72 = 119.91 : x
  2. Step 2: Convert to fraction form
    408.47/612.72 = 119.91/x
  3. Step 3: Cross multiply
    408.47x = 612.72 × 119.91
  4. Step 4: Simplify right side
    408.47x = 73,471.26
  5. Step 5: Solve for x
    x = 73,471.26/408.47
  6. Step 6: Final answer
    x = 179.87

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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.