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Finding the Fourth Proportional to 286.46, 428.91 and 199.61

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Solution

The fourth proportional to 286.46, 428.91 and 199.61 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.46 : 428.91 = 199.61 : x
  2. Step 2: Convert to fraction form
    286.46/428.91 = 199.61/x
  3. Step 3: Cross multiply
    286.46x = 428.91 × 199.61
  4. Step 4: Simplify right side
    286.46x = 85,612.58
  5. Step 5: Solve for x
    x = 85,612.58/286.46
  6. Step 6: Final answer
    x = 298.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.