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Finding the Fourth Proportional to 342.55, 513.83 and 256.96

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Solution

The fourth proportional to 342.55, 513.83 and 256.96 is: 385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.55 : 513.83 = 256.96 : x
  2. Step 2: Convert to fraction form
    342.55/513.83 = 256.96/x
  3. Step 3: Cross multiply
    342.55x = 513.83 × 256.96
  4. Step 4: Simplify right side
    342.55x = 132,033.76
  5. Step 5: Solve for x
    x = 132,033.76/342.55
  6. Step 6: Final answer
    x = 385.44

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