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Finding the Fourth Proportional to 324.30, 447.65 and 193.44

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Solution

The fourth proportional to 324.30, 447.65 and 193.44 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.65 = 193.44 : x
  2. Step 2: Convert to fraction form
    324.30/447.65 = 193.44/x
  3. Step 3: Cross multiply
    324.30x = 447.65 × 193.44
  4. Step 4: Simplify right side
    324.30x = 86,593.42
  5. Step 5: Solve for x
    x = 86,593.42/324.30
  6. Step 6: Final answer
    x = 267.02

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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.