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Finding the Fourth Proportional to 414.20, 620.89 and 267.79

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Solution

The fourth proportional to 414.20, 620.89 and 267.79 is: 401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 620.89 = 267.79 : x
  2. Step 2: Convert to fraction form
    414.20/620.89 = 267.79/x
  3. Step 3: Cross multiply
    414.20x = 620.89 × 267.79
  4. Step 4: Simplify right side
    414.20x = 166,265.91
  5. Step 5: Solve for x
    x = 166,265.91/414.20
  6. Step 6: Final answer
    x = 401.42

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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.