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Finding the Fourth Proportional to 493.44, 739.92 and 185.28

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Solution

The fourth proportional to 493.44, 739.92 and 185.28 is: 277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 739.92 = 185.28 : x
  2. Step 2: Convert to fraction form
    493.44/739.92 = 185.28/x
  3. Step 3: Cross multiply
    493.44x = 739.92 × 185.28
  4. Step 4: Simplify right side
    493.44x = 137,092.38
  5. Step 5: Solve for x
    x = 137,092.38/493.44
  6. Step 6: Final answer
    x = 277.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.