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Finding the Fourth Proportional to 324.27, 447.56 and 254.19

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Solution

The fourth proportional to 324.27, 447.56 and 254.19 is: 350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 447.56 = 254.19 : x
  2. Step 2: Convert to fraction form
    324.27/447.56 = 254.19/x
  3. Step 3: Cross multiply
    324.27x = 447.56 × 254.19
  4. Step 4: Simplify right side
    324.27x = 113,765.28
  5. Step 5: Solve for x
    x = 113,765.28/324.27
  6. Step 6: Final answer
    x = 350.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.