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Finding the Fourth Proportional to 414.92, 622.49 and 171.52

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Solution

The fourth proportional to 414.92, 622.49 and 171.52 is: 257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 622.49 = 171.52 : x
  2. Step 2: Convert to fraction form
    414.92/622.49 = 171.52/x
  3. Step 3: Cross multiply
    414.92x = 622.49 × 171.52
  4. Step 4: Simplify right side
    414.92x = 106,767.07
  5. Step 5: Solve for x
    x = 106,767.07/414.92
  6. Step 6: Final answer
    x = 257.32

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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.