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Finding the Fourth Proportional to 463.89, 640.11 and 286.92

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Solution

The fourth proportional to 463.89, 640.11 and 286.92 is: 395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 640.11 = 286.92 : x
  2. Step 2: Convert to fraction form
    463.89/640.11 = 286.92/x
  3. Step 3: Cross multiply
    463.89x = 640.11 × 286.92
  4. Step 4: Simplify right side
    463.89x = 183,660.36
  5. Step 5: Solve for x
    x = 183,660.36/463.89
  6. Step 6: Final answer
    x = 395.91

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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.