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Finding the Fourth Proportional to 286.70, 429.11 and 217.85

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Solution

The fourth proportional to 286.70, 429.11 and 217.85 is: 326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.70 : 429.11 = 217.85 : x
  2. Step 2: Convert to fraction form
    286.70/429.11 = 217.85/x
  3. Step 3: Cross multiply
    286.70x = 429.11 × 217.85
  4. Step 4: Simplify right side
    286.70x = 93,481.61
  5. Step 5: Solve for x
    x = 93,481.61/286.70
  6. Step 6: Final answer
    x = 326.06

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