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Finding the Fourth Proportional to 324.87, 448.47 and 206.97

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Solution

The fourth proportional to 324.87, 448.47 and 206.97 is: 285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.87 : 448.47 = 206.97 : x
  2. Step 2: Convert to fraction form
    324.87/448.47 = 206.97/x
  3. Step 3: Cross multiply
    324.87x = 448.47 × 206.97
  4. Step 4: Simplify right side
    324.87x = 92,819.84
  5. Step 5: Solve for x
    x = 92,819.84/324.87
  6. Step 6: Final answer
    x = 285.71

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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.