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Finding the Fourth Proportional to 414.20, 620.79 and 170.78

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Solution

The fourth proportional to 414.20, 620.79 and 170.78 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 620.79 = 170.78 : x
  2. Step 2: Convert to fraction form
    414.20/620.79 = 170.78/x
  3. Step 3: Cross multiply
    414.20x = 620.79 × 170.78
  4. Step 4: Simplify right side
    414.20x = 106,018.52
  5. Step 5: Solve for x
    x = 106,018.52/414.20
  6. Step 6: Final answer
    x = 255.96

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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.