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Finding the Fourth Proportional to 565.05, 847.38 and 199.83

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Solution

The fourth proportional to 565.05, 847.38 and 199.83 is: 299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 847.38 = 199.83 : x
  2. Step 2: Convert to fraction form
    565.05/847.38 = 199.83/x
  3. Step 3: Cross multiply
    565.05x = 847.38 × 199.83
  4. Step 4: Simplify right side
    565.05x = 169,331.95
  5. Step 5: Solve for x
    x = 169,331.95/565.05
  6. Step 6: Final answer
    x = 299.68

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