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Finding the Fourth Proportional to 777, 1,164.90 and 343.92

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Solution

The fourth proportional to 777, 1,164.90 and 343.92 is: 515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777 : 1,164.90 = 343.92 : x
  2. Step 2: Convert to fraction form
    777/1,164.90 = 343.92/x
  3. Step 3: Cross multiply
    777x = 1,164.90 × 343.92
  4. Step 4: Simplify right side
    777x = 400,632.41
  5. Step 5: Solve for x
    x = 400,632.41/777
  6. Step 6: Final answer
    x = 515.61

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