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Finding the Fourth Proportional to 447.30, 670.83 and 122.60

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Solution

The fourth proportional to 447.30, 670.83 and 122.60 is: 183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 670.83 = 122.60 : x
  2. Step 2: Convert to fraction form
    447.30/670.83 = 122.60/x
  3. Step 3: Cross multiply
    447.30x = 670.83 × 122.60
  4. Step 4: Simplify right side
    447.30x = 82,240.40
  5. Step 5: Solve for x
    x = 82,240.40/447.30
  6. Step 6: Final answer
    x = 183.86

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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.