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Finding the Fourth Proportional to 463.82, 638.99 and 323.68

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Solution

The fourth proportional to 463.82, 638.99 and 323.68 is: 445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.82 : 638.99 = 323.68 : x
  2. Step 2: Convert to fraction form
    463.82/638.99 = 323.68/x
  3. Step 3: Cross multiply
    463.82x = 638.99 × 323.68
  4. Step 4: Simplify right side
    463.82x = 206,828.28
  5. Step 5: Solve for x
    x = 206,828.28/463.82
  6. Step 6: Final answer
    x = 445.92

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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.