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Finding the Fourth Proportional to 512.54, 768.34 and 187.83

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Solution

The fourth proportional to 512.54, 768.34 and 187.83 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 768.34 = 187.83 : x
  2. Step 2: Convert to fraction form
    512.54/768.34 = 187.83/x
  3. Step 3: Cross multiply
    512.54x = 768.34 × 187.83
  4. Step 4: Simplify right side
    512.54x = 144,312.52
  5. Step 5: Solve for x
    x = 144,312.52/512.54
  6. Step 6: Final answer
    x = 281.57

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