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Finding the Fourth Proportional to 462.97, 638.84 and 323.24

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Solution

The fourth proportional to 462.97, 638.84 and 323.24 is: 446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.97 : 638.84 = 323.24 : x
  2. Step 2: Convert to fraction form
    462.97/638.84 = 323.24/x
  3. Step 3: Cross multiply
    462.97x = 638.84 × 323.24
  4. Step 4: Simplify right side
    462.97x = 206,497.03
  5. Step 5: Solve for x
    x = 206,497.03/462.97
  6. Step 6: Final answer
    x = 446.03

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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.