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Finding the Fourth Proportional to 565.26, 847.46 and 199.96

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Solution

The fourth proportional to 565.26, 847.46 and 199.96 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 847.46 = 199.96 : x
  2. Step 2: Convert to fraction form
    565.26/847.46 = 199.96/x
  3. Step 3: Cross multiply
    565.26x = 847.46 × 199.96
  4. Step 4: Simplify right side
    565.26x = 169,458.10
  5. Step 5: Solve for x
    x = 169,458.10/565.26
  6. Step 6: Final answer
    x = 299.79

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