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Finding the Fourth Proportional to 506.39, 759.54 and 198.28

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Solution

The fourth proportional to 506.39, 759.54 and 198.28 is: 297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.39 : 759.54 = 198.28 : x
  2. Step 2: Convert to fraction form
    506.39/759.54 = 198.28/x
  3. Step 3: Cross multiply
    506.39x = 759.54 × 198.28
  4. Step 4: Simplify right side
    506.39x = 150,603.28
  5. Step 5: Solve for x
    x = 150,603.28/506.39
  6. Step 6: Final answer
    x = 297.41

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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.