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Finding the Fourth Proportional to 409.94, 565.77 and 232.91

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Solution

The fourth proportional to 409.94, 565.77 and 232.91 is: 321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 565.77 = 232.91 : x
  2. Step 2: Convert to fraction form
    409.94/565.77 = 232.91/x
  3. Step 3: Cross multiply
    409.94x = 565.77 × 232.91
  4. Step 4: Simplify right side
    409.94x = 131,770.66
  5. Step 5: Solve for x
    x = 131,770.66/409.94
  6. Step 6: Final answer
    x = 321.44

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