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Finding the Fourth Proportional to 408, 563.44 and 290.24

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Solution

The fourth proportional to 408, 563.44 and 290.24 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 563.44 = 290.24 : x
  2. Step 2: Convert to fraction form
    408/563.44 = 290.24/x
  3. Step 3: Cross multiply
    408x = 563.44 × 290.24
  4. Step 4: Simplify right side
    408x = 163,532.83
  5. Step 5: Solve for x
    x = 163,532.83/408
  6. Step 6: Final answer
    x = 400.82

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