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Finding the Fourth Proportional to 409.88, 565.73 and 252.64

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Solution

The fourth proportional to 409.88, 565.73 and 252.64 is: 348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 565.73 = 252.64 : x
  2. Step 2: Convert to fraction form
    409.88/565.73 = 252.64/x
  3. Step 3: Cross multiply
    409.88x = 565.73 × 252.64
  4. Step 4: Simplify right side
    409.88x = 142,927.30
  5. Step 5: Solve for x
    x = 142,927.30/409.88
  6. Step 6: Final answer
    x = 348.71

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