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Finding the Fourth Proportional to 362.78, 500.24 and 231.74

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Solution

The fourth proportional to 362.78, 500.24 and 231.74 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.78 : 500.24 = 231.74 : x
  2. Step 2: Convert to fraction form
    362.78/500.24 = 231.74/x
  3. Step 3: Cross multiply
    362.78x = 500.24 × 231.74
  4. Step 4: Simplify right side
    362.78x = 115,924.46
  5. Step 5: Solve for x
    x = 115,924.46/362.78
  6. Step 6: Final answer
    x = 319.54

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