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Finding the Fourth Proportional to 506.56, 759.98 and 213.91

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Solution

The fourth proportional to 506.56, 759.98 and 213.91 is: 320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 759.98 = 213.91 : x
  2. Step 2: Convert to fraction form
    506.56/759.98 = 213.91/x
  3. Step 3: Cross multiply
    506.56x = 759.98 × 213.91
  4. Step 4: Simplify right side
    506.56x = 162,567.32
  5. Step 5: Solve for x
    x = 162,567.32/506.56
  6. Step 6: Final answer
    x = 320.92

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