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Finding the Fourth Proportional to 414.97, 622.50 and 408.19

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Solution

The fourth proportional to 414.97, 622.50 and 408.19 is: 612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.97 : 622.50 = 408.19 : x
  2. Step 2: Convert to fraction form
    414.97/622.50 = 408.19/x
  3. Step 3: Cross multiply
    414.97x = 622.50 × 408.19
  4. Step 4: Simplify right side
    414.97x = 254,098.28
  5. Step 5: Solve for x
    x = 254,098.28/414.97
  6. Step 6: Final answer
    x = 612.33

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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.