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Finding the Fourth Proportional to 408.97, 613.51 and 135.09

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Solution

The fourth proportional to 408.97, 613.51 and 135.09 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.97 : 613.51 = 135.09 : x
  2. Step 2: Convert to fraction form
    408.97/613.51 = 135.09/x
  3. Step 3: Cross multiply
    408.97x = 613.51 × 135.09
  4. Step 4: Simplify right side
    408.97x = 82,879.07
  5. Step 5: Solve for x
    x = 82,879.07/408.97
  6. Step 6: Final answer
    x = 202.65

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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.