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Finding the Fourth Proportional to 494.79, 682.77 and 273.75

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Solution

The fourth proportional to 494.79, 682.77 and 273.75 is: 377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.79 : 682.77 = 273.75 : x
  2. Step 2: Convert to fraction form
    494.79/682.77 = 273.75/x
  3. Step 3: Cross multiply
    494.79x = 682.77 × 273.75
  4. Step 4: Simplify right side
    494.79x = 186,908.29
  5. Step 5: Solve for x
    x = 186,908.29/494.79
  6. Step 6: Final answer
    x = 377.75

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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.