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Finding the Fourth Proportional to 382.21, 572.79 and 208.42

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Solution

The fourth proportional to 382.21, 572.79 and 208.42 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.21 : 572.79 = 208.42 : x
  2. Step 2: Convert to fraction form
    382.21/572.79 = 208.42/x
  3. Step 3: Cross multiply
    382.21x = 572.79 × 208.42
  4. Step 4: Simplify right side
    382.21x = 119,380.89
  5. Step 5: Solve for x
    x = 119,380.89/382.21
  6. Step 6: Final answer
    x = 312.34

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