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Finding the Fourth Proportional to 538.41, 806.36 and 263.64

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Solution

The fourth proportional to 538.41, 806.36 and 263.64 is: 394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 806.36 = 263.64 : x
  2. Step 2: Convert to fraction form
    538.41/806.36 = 263.64/x
  3. Step 3: Cross multiply
    538.41x = 806.36 × 263.64
  4. Step 4: Simplify right side
    538.41x = 212,587.43
  5. Step 5: Solve for x
    x = 212,587.43/538.41
  6. Step 6: Final answer
    x = 394.84

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