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Finding the Fourth Proportional to 566.53, 849.67 and 219.75

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Solution

The fourth proportional to 566.53, 849.67 and 219.75 is: 329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 849.67 = 219.75 : x
  2. Step 2: Convert to fraction form
    566.53/849.67 = 219.75/x
  3. Step 3: Cross multiply
    566.53x = 849.67 × 219.75
  4. Step 4: Simplify right side
    566.53x = 186,709.64
  5. Step 5: Solve for x
    x = 186,709.64/566.53
  6. Step 6: Final answer
    x = 329.57

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