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Finding the Fourth Proportional to 447.36, 671.32 and 200.56

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Solution

The fourth proportional to 447.36, 671.32 and 200.56 is: 300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.36 : 671.32 = 200.56 : x
  2. Step 2: Convert to fraction form
    447.36/671.32 = 200.56/x
  3. Step 3: Cross multiply
    447.36x = 671.32 × 200.56
  4. Step 4: Simplify right side
    447.36x = 134,639.94
  5. Step 5: Solve for x
    x = 134,639.94/447.36
  6. Step 6: Final answer
    x = 300.97

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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.