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Finding the Fourth Proportional to 324.57, 447.89 and 198.56

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Solution

The fourth proportional to 324.57, 447.89 and 198.56 is: 273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.57 : 447.89 = 198.56 : x
  2. Step 2: Convert to fraction form
    324.57/447.89 = 198.56/x
  3. Step 3: Cross multiply
    324.57x = 447.89 × 198.56
  4. Step 4: Simplify right side
    324.57x = 88,929.81
  5. Step 5: Solve for x
    x = 88,929.81/324.57
  6. Step 6: Final answer
    x = 273.99

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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.