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Finding the Fourth Proportional to 414.70, 621.82 and 198.28

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Solution

The fourth proportional to 414.70, 621.82 and 198.28 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 621.82 = 198.28 : x
  2. Step 2: Convert to fraction form
    414.70/621.82 = 198.28/x
  3. Step 3: Cross multiply
    414.70x = 621.82 × 198.28
  4. Step 4: Simplify right side
    414.70x = 123,294.47
  5. Step 5: Solve for x
    x = 123,294.47/414.70
  6. Step 6: Final answer
    x = 297.31

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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.