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Finding the Fourth Proportional to 494.82, 682.84 and 273.76

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Solution

The fourth proportional to 494.82, 682.84 and 273.76 is: 377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 682.84 = 273.76 : x
  2. Step 2: Convert to fraction form
    494.82/682.84 = 273.76/x
  3. Step 3: Cross multiply
    494.82x = 682.84 × 273.76
  4. Step 4: Simplify right side
    494.82x = 186,932.91
  5. Step 5: Solve for x
    x = 186,932.91/494.82
  6. Step 6: Final answer
    x = 377.78

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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.