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Finding the Fourth Proportional to 596.38, 894.24 and 185.41

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Solution

The fourth proportional to 596.38, 894.24 and 185.41 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.38 : 894.24 = 185.41 : x
  2. Step 2: Convert to fraction form
    596.38/894.24 = 185.41/x
  3. Step 3: Cross multiply
    596.38x = 894.24 × 185.41
  4. Step 4: Simplify right side
    596.38x = 165,797.13
  5. Step 5: Solve for x
    x = 165,797.13/596.38
  6. Step 6: Final answer
    x = 278.01

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