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Finding the Fourth Proportional to 414.27, 620.19 and 231.21

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Solution

The fourth proportional to 414.27, 620.19 and 231.21 is: 346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 620.19 = 231.21 : x
  2. Step 2: Convert to fraction form
    414.27/620.19 = 231.21/x
  3. Step 3: Cross multiply
    414.27x = 620.19 × 231.21
  4. Step 4: Simplify right side
    414.27x = 143,394.13
  5. Step 5: Solve for x
    x = 143,394.13/414.27
  6. Step 6: Final answer
    x = 346.14

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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.