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Finding the Fourth Proportional to 286.86, 396.18 and 276.61

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Solution

The fourth proportional to 286.86, 396.18 and 276.61 is: 382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 396.18 = 276.61 : x
  2. Step 2: Convert to fraction form
    286.86/396.18 = 276.61/x
  3. Step 3: Cross multiply
    286.86x = 396.18 × 276.61
  4. Step 4: Simplify right side
    286.86x = 109,585.97
  5. Step 5: Solve for x
    x = 109,585.97/286.86
  6. Step 6: Final answer
    x = 382.02

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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.