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Finding the Fourth Proportional to 506.53, 759.62 and 198.30

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Solution

The fourth proportional to 506.53, 759.62 and 198.30 is: 297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 759.62 = 198.30 : x
  2. Step 2: Convert to fraction form
    506.53/759.62 = 198.30/x
  3. Step 3: Cross multiply
    506.53x = 759.62 × 198.30
  4. Step 4: Simplify right side
    506.53x = 150,633.14
  5. Step 5: Solve for x
    x = 150,633.14/506.53
  6. Step 6: Final answer
    x = 297.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.