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Finding the Fourth Proportional to 297.94, 447 and 200.83

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Solution

The fourth proportional to 297.94, 447 and 200.83 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 447 = 200.83 : x
  2. Step 2: Convert to fraction form
    297.94/447 = 200.83/x
  3. Step 3: Cross multiply
    297.94x = 447 × 200.83
  4. Step 4: Simplify right side
    297.94x = 89,771.01
  5. Step 5: Solve for x
    x = 89,771.01/297.94
  6. Step 6: Final answer
    x = 301.31

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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.