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Finding the Fourth Proportional to 408.88, 613.26 and 120.24

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Solution

The fourth proportional to 408.88, 613.26 and 120.24 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.88 : 613.26 = 120.24 : x
  2. Step 2: Convert to fraction form
    408.88/613.26 = 120.24/x
  3. Step 3: Cross multiply
    408.88x = 613.26 × 120.24
  4. Step 4: Simplify right side
    408.88x = 73,738.38
  5. Step 5: Solve for x
    x = 73,738.38/408.88
  6. Step 6: Final answer
    x = 180.34

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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.