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Finding the Fourth Proportional to 324.40, 447.68 and 193.39

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Solution

The fourth proportional to 324.40, 447.68 and 193.39 is: 266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 447.68 = 193.39 : x
  2. Step 2: Convert to fraction form
    324.40/447.68 = 193.39/x
  3. Step 3: Cross multiply
    324.40x = 447.68 × 193.39
  4. Step 4: Simplify right side
    324.40x = 86,576.84
  5. Step 5: Solve for x
    x = 86,576.84/324.40
  6. Step 6: Final answer
    x = 266.88

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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.