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Finding the Fourth Proportional to 514.48, 771.83 and 189.84

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Solution

The fourth proportional to 514.48, 771.83 and 189.84 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.48 : 771.83 = 189.84 : x
  2. Step 2: Convert to fraction form
    514.48/771.83 = 189.84/x
  3. Step 3: Cross multiply
    514.48x = 771.83 × 189.84
  4. Step 4: Simplify right side
    514.48x = 146,526.86
  5. Step 5: Solve for x
    x = 146,526.86/514.48
  6. Step 6: Final answer
    x = 284.81

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