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Finding the Fourth Proportional to 457.24, 685.68 and 213.88

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Solution

The fourth proportional to 457.24, 685.68 and 213.88 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.24 : 685.68 = 213.88 : x
  2. Step 2: Convert to fraction form
    457.24/685.68 = 213.88/x
  3. Step 3: Cross multiply
    457.24x = 685.68 × 213.88
  4. Step 4: Simplify right side
    457.24x = 146,653.24
  5. Step 5: Solve for x
    x = 146,653.24/457.24
  6. Step 6: Final answer
    x = 320.74

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