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Finding the Fourth Proportional to 464, 695.64 and 271.28

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Solution

The fourth proportional to 464, 695.64 and 271.28 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 695.64 = 271.28 : x
  2. Step 2: Convert to fraction form
    464/695.64 = 271.28/x
  3. Step 3: Cross multiply
    464x = 695.64 × 271.28
  4. Step 4: Simplify right side
    464x = 188,713.22
  5. Step 5: Solve for x
    x = 188,713.22/464
  6. Step 6: Final answer
    x = 406.71

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