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Finding the Fourth Proportional to 463.68, 640.10 and 323.90

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Solution

The fourth proportional to 463.68, 640.10 and 323.90 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 640.10 = 323.90 : x
  2. Step 2: Convert to fraction form
    463.68/640.10 = 323.90/x
  3. Step 3: Cross multiply
    463.68x = 640.10 × 323.90
  4. Step 4: Simplify right side
    463.68x = 207,328.39
  5. Step 5: Solve for x
    x = 207,328.39/463.68
  6. Step 6: Final answer
    x = 447.14

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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.