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Finding the Fourth Proportional to 506.71, 759.52 and 198.48

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Solution

The fourth proportional to 506.71, 759.52 and 198.48 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 759.52 = 198.48 : x
  2. Step 2: Convert to fraction form
    506.71/759.52 = 198.48/x
  3. Step 3: Cross multiply
    506.71x = 759.52 × 198.48
  4. Step 4: Simplify right side
    506.71x = 150,749.53
  5. Step 5: Solve for x
    x = 150,749.53/506.71
  6. Step 6: Final answer
    x = 297.51

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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.