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Finding the Fourth Proportional to 493.62, 739.89 and 185.26

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Solution

The fourth proportional to 493.62, 739.89 and 185.26 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 739.89 = 185.26 : x
  2. Step 2: Convert to fraction form
    493.62/739.89 = 185.26/x
  3. Step 3: Cross multiply
    493.62x = 739.89 × 185.26
  4. Step 4: Simplify right side
    493.62x = 137,072.02
  5. Step 5: Solve for x
    x = 137,072.02/493.62
  6. Step 6: Final answer
    x = 277.69

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