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Finding the Fourth Proportional to 538.18, 806.97 and 264.20

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Solution

The fourth proportional to 538.18, 806.97 and 264.20 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 806.97 = 264.20 : x
  2. Step 2: Convert to fraction form
    538.18/806.97 = 264.20/x
  3. Step 3: Cross multiply
    538.18x = 806.97 × 264.20
  4. Step 4: Simplify right side
    538.18x = 213,201.47
  5. Step 5: Solve for x
    x = 213,201.47/538.18
  6. Step 6: Final answer
    x = 396.15

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