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Finding the Fourth Proportional to 324.40, 447.60 and 207.92

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Solution

The fourth proportional to 324.40, 447.60 and 207.92 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 447.60 = 207.92 : x
  2. Step 2: Convert to fraction form
    324.40/447.60 = 207.92/x
  3. Step 3: Cross multiply
    324.40x = 447.60 × 207.92
  4. Step 4: Simplify right side
    324.40x = 93,064.99
  5. Step 5: Solve for x
    x = 93,064.99/324.40
  6. Step 6: Final answer
    x = 286.88

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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.