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Finding the Fourth Proportional to 463.43, 638.97 and 288.47

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Solution

The fourth proportional to 463.43, 638.97 and 288.47 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.43 : 638.97 = 288.47 : x
  2. Step 2: Convert to fraction form
    463.43/638.97 = 288.47/x
  3. Step 3: Cross multiply
    463.43x = 638.97 × 288.47
  4. Step 4: Simplify right side
    463.43x = 184,323.68
  5. Step 5: Solve for x
    x = 184,323.68/463.43
  6. Step 6: Final answer
    x = 397.74

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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.