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Finding the Fourth Proportional to 463.13, 638.75 and 323.24

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Solution

The fourth proportional to 463.13, 638.75 and 323.24 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 638.75 = 323.24 : x
  2. Step 2: Convert to fraction form
    463.13/638.75 = 323.24/x
  3. Step 3: Cross multiply
    463.13x = 638.75 × 323.24
  4. Step 4: Simplify right side
    463.13x = 206,464.74
  5. Step 5: Solve for x
    x = 206,464.74/463.13
  6. Step 6: Final answer
    x = 445.81

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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.