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Finding the Fourth Proportional to 414.76, 622.01 and 171.23

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Solution

The fourth proportional to 414.76, 622.01 and 171.23 is: 256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 622.01 = 171.23 : x
  2. Step 2: Convert to fraction form
    414.76/622.01 = 171.23/x
  3. Step 3: Cross multiply
    414.76x = 622.01 × 171.23
  4. Step 4: Simplify right side
    414.76x = 106,506.77
  5. Step 5: Solve for x
    x = 106,506.77/414.76
  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.