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Finding the Fourth Proportional to 447.86, 671.79 and 123.23

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Solution

The fourth proportional to 447.86, 671.79 and 123.23 is: 184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.86 : 671.79 = 123.23 : x
  2. Step 2: Convert to fraction form
    447.86/671.79 = 123.23/x
  3. Step 3: Cross multiply
    447.86x = 671.79 × 123.23
  4. Step 4: Simplify right side
    447.86x = 82,784.99
  5. Step 5: Solve for x
    x = 82,784.99/447.86
  6. Step 6: Final answer
    x = 184.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.