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Finding the Fourth Proportional to 564.91, 847.64 and 199.87

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Solution

The fourth proportional to 564.91, 847.64 and 199.87 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.91 : 847.64 = 199.87 : x
  2. Step 2: Convert to fraction form
    564.91/847.64 = 199.87/x
  3. Step 3: Cross multiply
    564.91x = 847.64 × 199.87
  4. Step 4: Simplify right side
    564.91x = 169,416.81
  5. Step 5: Solve for x
    x = 169,416.81/564.91
  6. Step 6: Final answer
    x = 299.90

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