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Finding the Fourth Proportional to 426.23, 638.33 and 338.96

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Solution

The fourth proportional to 426.23, 638.33 and 338.96 is: 507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.23 : 638.33 = 338.96 : x
  2. Step 2: Convert to fraction form
    426.23/638.33 = 338.96/x
  3. Step 3: Cross multiply
    426.23x = 638.33 × 338.96
  4. Step 4: Simplify right side
    426.23x = 216,363.45
  5. Step 5: Solve for x
    x = 216,363.45/426.23
  6. Step 6: Final answer
    x = 507.63

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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.