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Finding the Fourth Proportional to 414.29, 621.14 and 198.02

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Solution

The fourth proportional to 414.29, 621.14 and 198.02 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 621.14 = 198.02 : x
  2. Step 2: Convert to fraction form
    414.29/621.14 = 198.02/x
  3. Step 3: Cross multiply
    414.29x = 621.14 × 198.02
  4. Step 4: Simplify right side
    414.29x = 122,998.71
  5. Step 5: Solve for x
    x = 122,998.71/414.29
  6. Step 6: Final answer
    x = 296.89

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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.