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Finding the Fourth Proportional to 506.61, 759.90 and 198.52

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Solution

The fourth proportional to 506.61, 759.90 and 198.52 is: 297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 759.90 = 198.52 : x
  2. Step 2: Convert to fraction form
    506.61/759.90 = 198.52/x
  3. Step 3: Cross multiply
    506.61x = 759.90 × 198.52
  4. Step 4: Simplify right side
    506.61x = 150,856.26
  5. Step 5: Solve for x
    x = 150,856.26/506.61
  6. Step 6: Final answer
    x = 297.77

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