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Finding the Fourth Proportional to 414.27, 620.97 and 154.11

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Solution

The fourth proportional to 414.27, 620.97 and 154.11 is: 231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 620.97 = 154.11 : x
  2. Step 2: Convert to fraction form
    414.27/620.97 = 154.11/x
  3. Step 3: Cross multiply
    414.27x = 620.97 × 154.11
  4. Step 4: Simplify right side
    414.27x = 95,697.69
  5. Step 5: Solve for x
    x = 95,697.69/414.27
  6. Step 6: Final answer
    x = 231.00

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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.