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Finding the Fourth Proportional to 426.09, 635.41 and 422.20

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Solution

The fourth proportional to 426.09, 635.41 and 422.20 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 635.41 = 422.20 : x
  2. Step 2: Convert to fraction form
    426.09/635.41 = 422.20/x
  3. Step 3: Cross multiply
    426.09x = 635.41 × 422.20
  4. Step 4: Simplify right side
    426.09x = 268,271.42
  5. Step 5: Solve for x
    x = 268,271.42/426.09
  6. Step 6: Final answer
    x = 629.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.