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Finding the Fourth Proportional to 324.43, 447.65 and 193.48

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Solution

The fourth proportional to 324.43, 447.65 and 193.48 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.43 : 447.65 = 193.48 : x
  2. Step 2: Convert to fraction form
    324.43/447.65 = 193.48/x
  3. Step 3: Cross multiply
    324.43x = 447.65 × 193.48
  4. Step 4: Simplify right side
    324.43x = 86,610.35
  5. Step 5: Solve for x
    x = 86,610.35/324.43
  6. Step 6: Final answer
    x = 266.96

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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.