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Finding the Fourth Proportional to 519.76, 779.64 and 506.08

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Solution

The fourth proportional to 519.76, 779.64 and 506.08 is: 759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 779.64 = 506.08 : x
  2. Step 2: Convert to fraction form
    519.76/779.64 = 506.08/x
  3. Step 3: Cross multiply
    519.76x = 779.64 × 506.08
  4. Step 4: Simplify right side
    519.76x = 394,560.21
  5. Step 5: Solve for x
    x = 394,560.21/519.76
  6. Step 6: Final answer
    x = 759.12

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