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Finding the Fourth Proportional to 494.12, 681.84 and 273.08

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Solution

The fourth proportional to 494.12, 681.84 and 273.08 is: 376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 681.84 = 273.08 : x
  2. Step 2: Convert to fraction form
    494.12/681.84 = 273.08/x
  3. Step 3: Cross multiply
    494.12x = 681.84 × 273.08
  4. Step 4: Simplify right side
    494.12x = 186,198.57
  5. Step 5: Solve for x
    x = 186,198.57/494.12
  6. Step 6: Final answer
    x = 376.83

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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.