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Finding the Fourth Proportional to 447.82, 617.97 and 273.13

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Solution

The fourth proportional to 447.82, 617.97 and 273.13 is: 376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.82 : 617.97 = 273.13 : x
  2. Step 2: Convert to fraction form
    447.82/617.97 = 273.13/x
  3. Step 3: Cross multiply
    447.82x = 617.97 × 273.13
  4. Step 4: Simplify right side
    447.82x = 168,786.15
  5. Step 5: Solve for x
    x = 168,786.15/447.82
  6. Step 6: Final answer
    x = 376.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.