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Finding the Fourth Proportional to 426.33, 638.69 and 353.43

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Solution

The fourth proportional to 426.33, 638.69 and 353.43 is: 529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.33 : 638.69 = 353.43 : x
  2. Step 2: Convert to fraction form
    426.33/638.69 = 353.43/x
  3. Step 3: Cross multiply
    426.33x = 638.69 × 353.43
  4. Step 4: Simplify right side
    426.33x = 225,730.44
  5. Step 5: Solve for x
    x = 225,730.44/426.33
  6. Step 6: Final answer
    x = 529.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.