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Finding the Fourth Proportional to 421.85, 582.12 and 255.96

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Solution

The fourth proportional to 421.85, 582.12 and 255.96 is: 353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.85 : 582.12 = 255.96 : x
  2. Step 2: Convert to fraction form
    421.85/582.12 = 255.96/x
  3. Step 3: Cross multiply
    421.85x = 582.12 × 255.96
  4. Step 4: Simplify right side
    421.85x = 148,999.44
  5. Step 5: Solve for x
    x = 148,999.44/421.85
  6. Step 6: Final answer
    x = 353.20

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