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Finding the Fourth Proportional to 768.36, 1,151.82 and 255

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Solution

The fourth proportional to 768.36, 1,151.82 and 255 is: 382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.36 : 1,151.82 = 255 : x
  2. Step 2: Convert to fraction form
    768.36/1,151.82 = 255/x
  3. Step 3: Cross multiply
    768.36x = 1,151.82 × 255
  4. Step 4: Simplify right side
    768.36x = 293,714.10
  5. Step 5: Solve for x
    x = 293,714.10/768.36
  6. Step 6: Final answer
    x = 382.26

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