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Finding the Fourth Proportional to 911.41, 1,367.20 and 326.27

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Solution

The fourth proportional to 911.41, 1,367.20 and 326.27 is: 489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.41 : 1,367.20 = 326.27 : x
  2. Step 2: Convert to fraction form
    911.41/1,367.20 = 326.27/x
  3. Step 3: Cross multiply
    911.41x = 1,367.20 × 326.27
  4. Step 4: Simplify right side
    911.41x = 446,076.34
  5. Step 5: Solve for x
    x = 446,076.34/911.41
  6. Step 6: Final answer
    x = 489.44

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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.