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Finding the Fourth Proportional to 565.06, 847.64 and 199.78

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Solution

The fourth proportional to 565.06, 847.64 and 199.78 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.06 : 847.64 = 199.78 : x
  2. Step 2: Convert to fraction form
    565.06/847.64 = 199.78/x
  3. Step 3: Cross multiply
    565.06x = 847.64 × 199.78
  4. Step 4: Simplify right side
    565.06x = 169,341.52
  5. Step 5: Solve for x
    x = 169,341.52/565.06
  6. Step 6: Final answer
    x = 299.69

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