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Finding the Fourth Proportional to 514.56, 771.75 and 189.93

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Solution

The fourth proportional to 514.56, 771.75 and 189.93 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 771.75 = 189.93 : x
  2. Step 2: Convert to fraction form
    514.56/771.75 = 189.93/x
  3. Step 3: Cross multiply
    514.56x = 771.75 × 189.93
  4. Step 4: Simplify right side
    514.56x = 146,578.48
  5. Step 5: Solve for x
    x = 146,578.48/514.56
  6. Step 6: Final answer
    x = 284.86

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