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Finding the Fourth Proportional to 506.17, 759.27 and 396.38

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Solution

The fourth proportional to 506.17, 759.27 and 396.38 is: 594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.17 : 759.27 = 396.38 : x
  2. Step 2: Convert to fraction form
    506.17/759.27 = 396.38/x
  3. Step 3: Cross multiply
    506.17x = 759.27 × 396.38
  4. Step 4: Simplify right side
    506.17x = 300,959.44
  5. Step 5: Solve for x
    x = 300,959.44/506.17
  6. Step 6: Final answer
    x = 594.58

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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.