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Finding the Fourth Proportional to 414.05, 620.06 and 291.74

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Solution

The fourth proportional to 414.05, 620.06 and 291.74 is: 436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 620.06 = 291.74 : x
  2. Step 2: Convert to fraction form
    414.05/620.06 = 291.74/x
  3. Step 3: Cross multiply
    414.05x = 620.06 × 291.74
  4. Step 4: Simplify right side
    414.05x = 180,891.75
  5. Step 5: Solve for x
    x = 180,891.75/414.05
  6. Step 6: Final answer
    x = 436.89

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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.