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Finding the Fourth Proportional to 471.42, 705.84 and 265.68

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Solution

The fourth proportional to 471.42, 705.84 and 265.68 is: 397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 705.84 = 265.68 : x
  2. Step 2: Convert to fraction form
    471.42/705.84 = 265.68/x
  3. Step 3: Cross multiply
    471.42x = 705.84 × 265.68
  4. Step 4: Simplify right side
    471.42x = 187,527.57
  5. Step 5: Solve for x
    x = 187,527.57/471.42
  6. Step 6: Final answer
    x = 397.79

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