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Finding the Fourth Proportional to 414.20, 620.58 and 285.68

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Solution

The fourth proportional to 414.20, 620.58 and 285.68 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 620.58 = 285.68 : x
  2. Step 2: Convert to fraction form
    414.20/620.58 = 285.68/x
  3. Step 3: Cross multiply
    414.20x = 620.58 × 285.68
  4. Step 4: Simplify right side
    414.20x = 177,287.29
  5. Step 5: Solve for x
    x = 177,287.29/414.20
  6. Step 6: Final answer
    x = 428.02

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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.