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Finding the Fourth Proportional to 461.27, 636.26 and 286.61

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Solution

The fourth proportional to 461.27, 636.26 and 286.61 is: 395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.27 : 636.26 = 286.61 : x
  2. Step 2: Convert to fraction form
    461.27/636.26 = 286.61/x
  3. Step 3: Cross multiply
    461.27x = 636.26 × 286.61
  4. Step 4: Simplify right side
    461.27x = 182,353.86
  5. Step 5: Solve for x
    x = 182,353.86/461.27
  6. Step 6: Final answer
    x = 395.33

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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.