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Finding the Fourth Proportional to 255.78, 383.46 and 209.34

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Solution

The fourth proportional to 255.78, 383.46 and 209.34 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.78 : 383.46 = 209.34 : x
  2. Step 2: Convert to fraction form
    255.78/383.46 = 209.34/x
  3. Step 3: Cross multiply
    255.78x = 383.46 × 209.34
  4. Step 4: Simplify right side
    255.78x = 80,273.52
  5. Step 5: Solve for x
    x = 80,273.52/255.78
  6. Step 6: Final answer
    x = 313.84

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