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Finding the Fourth Proportional to 884.31, 1,326.61 and 299.37

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Solution

The fourth proportional to 884.31, 1,326.61 and 299.37 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.31 : 1,326.61 = 299.37 : x
  2. Step 2: Convert to fraction form
    884.31/1,326.61 = 299.37/x
  3. Step 3: Cross multiply
    884.31x = 1,326.61 × 299.37
  4. Step 4: Simplify right side
    884.31x = 397,147.24
  5. Step 5: Solve for x
    x = 397,147.24/884.31
  6. Step 6: Final answer
    x = 449.10

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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.