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Finding the Fourth Proportional to 524.70, 786.73 and 199.90

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Solution

The fourth proportional to 524.70, 786.73 and 199.90 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 786.73 = 199.90 : x
  2. Step 2: Convert to fraction form
    524.70/786.73 = 199.90/x
  3. Step 3: Cross multiply
    524.70x = 786.73 × 199.90
  4. Step 4: Simplify right side
    524.70x = 157,267.33
  5. Step 5: Solve for x
    x = 157,267.33/524.70
  6. Step 6: Final answer
    x = 299.73

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