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Finding the Fourth Proportional to 465.43, 697.79 and 208.75

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Solution

The fourth proportional to 465.43, 697.79 and 208.75 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.43 : 697.79 = 208.75 : x
  2. Step 2: Convert to fraction form
    465.43/697.79 = 208.75/x
  3. Step 3: Cross multiply
    465.43x = 697.79 × 208.75
  4. Step 4: Simplify right side
    465.43x = 145,662.62
  5. Step 5: Solve for x
    x = 145,662.62/465.43
  6. Step 6: Final answer
    x = 312.96

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