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Finding the Fourth Proportional to 414.76, 622.26 and 171.16

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Solution

The fourth proportional to 414.76, 622.26 and 171.16 is: 256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 622.26 = 171.16 : x
  2. Step 2: Convert to fraction form
    414.76/622.26 = 171.16/x
  3. Step 3: Cross multiply
    414.76x = 622.26 × 171.16
  4. Step 4: Simplify right side
    414.76x = 106,506.02
  5. Step 5: Solve for x
    x = 106,506.02/414.76
  6. Step 6: Final answer
    x = 256.79

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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.