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Finding the Fourth Proportional to 394.08, 543.76 and 256

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Solution

The fourth proportional to 394.08, 543.76 and 256 is: 353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 543.76 = 256 : x
  2. Step 2: Convert to fraction form
    394.08/543.76 = 256/x
  3. Step 3: Cross multiply
    394.08x = 543.76 × 256
  4. Step 4: Simplify right side
    394.08x = 139,202.56
  5. Step 5: Solve for x
    x = 139,202.56/394.08
  6. Step 6: Final answer
    x = 353.23

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