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Finding the Fourth Proportional to 324.71, 447.86 and 225.15

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Solution

The fourth proportional to 324.71, 447.86 and 225.15 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.71 : 447.86 = 225.15 : x
  2. Step 2: Convert to fraction form
    324.71/447.86 = 225.15/x
  3. Step 3: Cross multiply
    324.71x = 447.86 × 225.15
  4. Step 4: Simplify right side
    324.71x = 100,835.68
  5. Step 5: Solve for x
    x = 100,835.68/324.71
  6. Step 6: Final answer
    x = 310.54

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Why These Related Problems?

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