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Finding the Fourth Proportional to 414.36, 620.98 and 197.72

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Solution

The fourth proportional to 414.36, 620.98 and 197.72 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 620.98 = 197.72 : x
  2. Step 2: Convert to fraction form
    414.36/620.98 = 197.72/x
  3. Step 3: Cross multiply
    414.36x = 620.98 × 197.72
  4. Step 4: Simplify right side
    414.36x = 122,780.17
  5. Step 5: Solve for x
    x = 122,780.17/414.36
  6. Step 6: Final answer
    x = 296.31

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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.