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Finding the Fourth Proportional to 414.74, 622.12 and 171.26

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Solution

The fourth proportional to 414.74, 622.12 and 171.26 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 622.12 = 171.26 : x
  2. Step 2: Convert to fraction form
    414.74/622.12 = 171.26/x
  3. Step 3: Cross multiply
    414.74x = 622.12 × 171.26
  4. Step 4: Simplify right side
    414.74x = 106,544.27
  5. Step 5: Solve for x
    x = 106,544.27/414.74
  6. Step 6: Final answer
    x = 256.89

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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.