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Finding the Fourth Proportional to 494.98, 683.04 and 273.92

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Solution

The fourth proportional to 494.98, 683.04 and 273.92 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.98 : 683.04 = 273.92 : x
  2. Step 2: Convert to fraction form
    494.98/683.04 = 273.92/x
  3. Step 3: Cross multiply
    494.98x = 683.04 × 273.92
  4. Step 4: Simplify right side
    494.98x = 187,097.29
  5. Step 5: Solve for x
    x = 187,097.29/494.98
  6. Step 6: Final answer
    x = 377.99

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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.