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Finding the Fourth Proportional to 414.14, 620.69 and 194.63

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Solution

The fourth proportional to 414.14, 620.69 and 194.63 is: 291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 620.69 = 194.63 : x
  2. Step 2: Convert to fraction form
    414.14/620.69 = 194.63/x
  3. Step 3: Cross multiply
    414.14x = 620.69 × 194.63
  4. Step 4: Simplify right side
    414.14x = 120,800.82
  5. Step 5: Solve for x
    x = 120,800.82/414.14
  6. Step 6: Final answer
    x = 291.69

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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.