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Finding the Fourth Proportional to 494.74, 682.78 and 273.70

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Solution

The fourth proportional to 494.74, 682.78 and 273.70 is: 377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.74 : 682.78 = 273.70 : x
  2. Step 2: Convert to fraction form
    494.74/682.78 = 273.70/x
  3. Step 3: Cross multiply
    494.74x = 682.78 × 273.70
  4. Step 4: Simplify right side
    494.74x = 186,876.89
  5. Step 5: Solve for x
    x = 186,876.89/494.74
  6. Step 6: Final answer
    x = 377.73

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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.