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Finding the Fourth Proportional to 300.89, 415.59 and 217.86

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Solution

The fourth proportional to 300.89, 415.59 and 217.86 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.89 : 415.59 = 217.86 : x
  2. Step 2: Convert to fraction form
    300.89/415.59 = 217.86/x
  3. Step 3: Cross multiply
    300.89x = 415.59 × 217.86
  4. Step 4: Simplify right side
    300.89x = 90,540.44
  5. Step 5: Solve for x
    x = 90,540.44/300.89
  6. Step 6: Final answer
    x = 300.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.