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Finding the Fourth Proportional to 494.11, 681.86 and 273.07

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Solution

The fourth proportional to 494.11, 681.86 and 273.07 is: 376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.11 : 681.86 = 273.07 : x
  2. Step 2: Convert to fraction form
    494.11/681.86 = 273.07/x
  3. Step 3: Cross multiply
    494.11x = 681.86 × 273.07
  4. Step 4: Simplify right side
    494.11x = 186,192.44
  5. Step 5: Solve for x
    x = 186,192.44/494.11
  6. Step 6: Final answer
    x = 376.83

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