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Finding the Fourth Proportional to 414.66, 622.03 and 198.19

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Solution

The fourth proportional to 414.66, 622.03 and 198.19 is: 297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 622.03 = 198.19 : x
  2. Step 2: Convert to fraction form
    414.66/622.03 = 198.19/x
  3. Step 3: Cross multiply
    414.66x = 622.03 × 198.19
  4. Step 4: Simplify right side
    414.66x = 123,280.13
  5. Step 5: Solve for x
    x = 123,280.13/414.66
  6. Step 6: Final answer
    x = 297.30

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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.