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Finding the Fourth Proportional to 506.32, 759.17 and 198.11

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Solution

The fourth proportional to 506.32, 759.17 and 198.11 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 759.17 = 198.11 : x
  2. Step 2: Convert to fraction form
    506.32/759.17 = 198.11/x
  3. Step 3: Cross multiply
    506.32x = 759.17 × 198.11
  4. Step 4: Simplify right side
    506.32x = 150,401.56
  5. Step 5: Solve for x
    x = 150,401.56/506.32
  6. Step 6: Final answer
    x = 297.05

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Why These Related Problems?

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