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Finding the Fourth Proportional to 414.20, 620.21 and 267.72

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Solution

The fourth proportional to 414.20, 620.21 and 267.72 is: 400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 620.21 = 267.72 : x
  2. Step 2: Convert to fraction form
    414.20/620.21 = 267.72/x
  3. Step 3: Cross multiply
    414.20x = 620.21 × 267.72
  4. Step 4: Simplify right side
    414.20x = 166,041.28
  5. Step 5: Solve for x
    x = 166,041.28/414.20
  6. Step 6: Final answer
    x = 400.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.