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Finding the Fourth Proportional to 884.75, 1,327.41 and 365.31

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Solution

The fourth proportional to 884.75, 1,327.41 and 365.31 is: 548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.75 : 1,327.41 = 365.31 : x
  2. Step 2: Convert to fraction form
    884.75/1,327.41 = 365.31/x
  3. Step 3: Cross multiply
    884.75x = 1,327.41 × 365.31
  4. Step 4: Simplify right side
    884.75x = 484,916.15
  5. Step 5: Solve for x
    x = 484,916.15/884.75
  6. Step 6: Final answer
    x = 548.09

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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.