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Finding the Fourth Proportional to 463.57, 638.64 and 323.44

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Solution

The fourth proportional to 463.57, 638.64 and 323.44 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.57 : 638.64 = 323.44 : x
  2. Step 2: Convert to fraction form
    463.57/638.64 = 323.44/x
  3. Step 3: Cross multiply
    463.57x = 638.64 × 323.44
  4. Step 4: Simplify right side
    463.57x = 206,558.53
  5. Step 5: Solve for x
    x = 206,558.53/463.57
  6. Step 6: Final answer
    x = 445.58

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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.