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Finding the Fourth Proportional to 884.46, 1,325.78 and 299.27

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Solution

The fourth proportional to 884.46, 1,325.78 and 299.27 is: 448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.46 : 1,325.78 = 299.27 : x
  2. Step 2: Convert to fraction form
    884.46/1,325.78 = 299.27/x
  3. Step 3: Cross multiply
    884.46x = 1,325.78 × 299.27
  4. Step 4: Simplify right side
    884.46x = 396,770.24
  5. Step 5: Solve for x
    x = 396,770.24/884.46
  6. Step 6: Final answer
    x = 448.60

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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.