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Finding the Fourth Proportional to 447.30, 670.86 and 122.58

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Solution

The fourth proportional to 447.30, 670.86 and 122.58 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 670.86 = 122.58 : x
  2. Step 2: Convert to fraction form
    447.30/670.86 = 122.58/x
  3. Step 3: Cross multiply
    447.30x = 670.86 × 122.58
  4. Step 4: Simplify right side
    447.30x = 82,234.02
  5. Step 5: Solve for x
    x = 82,234.02/447.30
  6. Step 6: Final answer
    x = 183.85

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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.