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Finding the Fourth Proportional to 414.30, 621.78 and 198.04

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Solution

The fourth proportional to 414.30, 621.78 and 198.04 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 621.78 = 198.04 : x
  2. Step 2: Convert to fraction form
    414.30/621.78 = 198.04/x
  3. Step 3: Cross multiply
    414.30x = 621.78 × 198.04
  4. Step 4: Simplify right side
    414.30x = 123,137.31
  5. Step 5: Solve for x
    x = 123,137.31/414.30
  6. Step 6: Final answer
    x = 297.22

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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.