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Finding the Fourth Proportional to 400.16, 599.40 and 255.44

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Solution

The fourth proportional to 400.16, 599.40 and 255.44 is: 382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 599.40 = 255.44 : x
  2. Step 2: Convert to fraction form
    400.16/599.40 = 255.44/x
  3. Step 3: Cross multiply
    400.16x = 599.40 × 255.44
  4. Step 4: Simplify right side
    400.16x = 153,110.74
  5. Step 5: Solve for x
    x = 153,110.74/400.16
  6. Step 6: Final answer
    x = 382.62

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