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Finding the Fourth Proportional to 335.97, 463.41 and 324.68

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Solution

The fourth proportional to 335.97, 463.41 and 324.68 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.97 : 463.41 = 324.68 : x
  2. Step 2: Convert to fraction form
    335.97/463.41 = 324.68/x
  3. Step 3: Cross multiply
    335.97x = 463.41 × 324.68
  4. Step 4: Simplify right side
    335.97x = 150,458.34
  5. Step 5: Solve for x
    x = 150,458.34/335.97
  6. Step 6: Final answer
    x = 447.83

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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.