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Finding the Fourth Proportional to 519.72, 780.39 and 496.64

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Solution

The fourth proportional to 519.72, 780.39 and 496.64 is: 745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 780.39 = 496.64 : x
  2. Step 2: Convert to fraction form
    519.72/780.39 = 496.64/x
  3. Step 3: Cross multiply
    519.72x = 780.39 × 496.64
  4. Step 4: Simplify right side
    519.72x = 387,572.89
  5. Step 5: Solve for x
    x = 387,572.89/519.72
  6. Step 6: Final answer
    x = 745.73

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