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Finding the Fourth Proportional to 494.44, 682.35 and 273.41

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Solution

The fourth proportional to 494.44, 682.35 and 273.41 is: 377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 682.35 = 273.41 : x
  2. Step 2: Convert to fraction form
    494.44/682.35 = 273.41/x
  3. Step 3: Cross multiply
    494.44x = 682.35 × 273.41
  4. Step 4: Simplify right side
    494.44x = 186,559.44
  5. Step 5: Solve for x
    x = 186,559.44/494.44
  6. Step 6: Final answer
    x = 377.32

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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.