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Finding the Fourth Proportional to 414.80, 621.64 and 198.08

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Solution

The fourth proportional to 414.80, 621.64 and 198.08 is: 296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.80 : 621.64 = 198.08 : x
  2. Step 2: Convert to fraction form
    414.80/621.64 = 198.08/x
  3. Step 3: Cross multiply
    414.80x = 621.64 × 198.08
  4. Step 4: Simplify right side
    414.80x = 123,134.45
  5. Step 5: Solve for x
    x = 123,134.45/414.80
  6. Step 6: Final answer
    x = 296.85

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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.