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Finding the Fourth Proportional to 449.67, 675.73 and 254.97

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Solution

The fourth proportional to 449.67, 675.73 and 254.97 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.67 : 675.73 = 254.97 : x
  2. Step 2: Convert to fraction form
    449.67/675.73 = 254.97/x
  3. Step 3: Cross multiply
    449.67x = 675.73 × 254.97
  4. Step 4: Simplify right side
    449.67x = 172,290.88
  5. Step 5: Solve for x
    x = 172,290.88/449.67
  6. Step 6: Final answer
    x = 383.15

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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.