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Finding the Fourth Proportional to 447.96, 671.88 and 252.48

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Solution

The fourth proportional to 447.96, 671.88 and 252.48 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 671.88 = 252.48 : x
  2. Step 2: Convert to fraction form
    447.96/671.88 = 252.48/x
  3. Step 3: Cross multiply
    447.96x = 671.88 × 252.48
  4. Step 4: Simplify right side
    447.96x = 169,636.26
  5. Step 5: Solve for x
    x = 169,636.26/447.96
  6. Step 6: Final answer
    x = 378.69

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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.