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Finding the Fourth Proportional to 629.44, 945.60 and 447.28

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Solution

The fourth proportional to 629.44, 945.60 and 447.28 is: 671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.44 : 945.60 = 447.28 : x
  2. Step 2: Convert to fraction form
    629.44/945.60 = 447.28/x
  3. Step 3: Cross multiply
    629.44x = 945.60 × 447.28
  4. Step 4: Simplify right side
    629.44x = 422,947.97
  5. Step 5: Solve for x
    x = 422,947.97/629.44
  6. Step 6: Final answer
    x = 671.94

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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.