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Finding the Fourth Proportional to 505.75, 697.84 and 295.87

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Solution

The fourth proportional to 505.75, 697.84 and 295.87 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.75 : 697.84 = 295.87 : x
  2. Step 2: Convert to fraction form
    505.75/697.84 = 295.87/x
  3. Step 3: Cross multiply
    505.75x = 697.84 × 295.87
  4. Step 4: Simplify right side
    505.75x = 206,469.92
  5. Step 5: Solve for x
    x = 206,469.92/505.75
  6. Step 6: Final answer
    x = 408.25

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