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Finding the Fourth Proportional to 408.96, 613.53 and 120.42

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Solution

The fourth proportional to 408.96, 613.53 and 120.42 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 613.53 = 120.42 : x
  2. Step 2: Convert to fraction form
    408.96/613.53 = 120.42/x
  3. Step 3: Cross multiply
    408.96x = 613.53 × 120.42
  4. Step 4: Simplify right side
    408.96x = 73,881.28
  5. Step 5: Solve for x
    x = 73,881.28/408.96
  6. Step 6: Final answer
    x = 180.66

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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.