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Finding the Fourth Proportional to 514.47, 771.53 and 189.75

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Solution

The fourth proportional to 514.47, 771.53 and 189.75 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 771.53 = 189.75 : x
  2. Step 2: Convert to fraction form
    514.47/771.53 = 189.75/x
  3. Step 3: Cross multiply
    514.47x = 771.53 × 189.75
  4. Step 4: Simplify right side
    514.47x = 146,396.87
  5. Step 5: Solve for x
    x = 146,396.87/514.47
  6. Step 6: Final answer
    x = 284.56

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