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Finding the Fourth Proportional to 911.56, 1,367.34 and 295.80

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Solution

The fourth proportional to 911.56, 1,367.34 and 295.80 is: 443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.56 : 1,367.34 = 295.80 : x
  2. Step 2: Convert to fraction form
    911.56/1,367.34 = 295.80/x
  3. Step 3: Cross multiply
    911.56x = 1,367.34 × 295.80
  4. Step 4: Simplify right side
    911.56x = 404,459.17
  5. Step 5: Solve for x
    x = 404,459.17/911.56
  6. Step 6: Final answer
    x = 443.70

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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.