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Finding the Fourth Proportional to 324.71, 447.43 and 250.80

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Solution

The fourth proportional to 324.71, 447.43 and 250.80 is: 345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.71 : 447.43 = 250.80 : x
  2. Step 2: Convert to fraction form
    324.71/447.43 = 250.80/x
  3. Step 3: Cross multiply
    324.71x = 447.43 × 250.80
  4. Step 4: Simplify right side
    324.71x = 112,215.44
  5. Step 5: Solve for x
    x = 112,215.44/324.71
  6. Step 6: Final answer
    x = 345.59

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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.