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Finding the Fourth Proportional to 512, 768.13 and 203.75

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Solution

The fourth proportional to 512, 768.13 and 203.75 is: 305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 768.13 = 203.75 : x
  2. Step 2: Convert to fraction form
    512/768.13 = 203.75/x
  3. Step 3: Cross multiply
    512x = 768.13 × 203.75
  4. Step 4: Simplify right side
    512x = 156,506.49
  5. Step 5: Solve for x
    x = 156,506.49/512
  6. Step 6: Final answer
    x = 305.68

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