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Finding the Fourth Proportional to 426.40, 638.22 and 296.56

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Solution

The fourth proportional to 426.40, 638.22 and 296.56 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.40 : 638.22 = 296.56 : x
  2. Step 2: Convert to fraction form
    426.40/638.22 = 296.56/x
  3. Step 3: Cross multiply
    426.40x = 638.22 × 296.56
  4. Step 4: Simplify right side
    426.40x = 189,270.52
  5. Step 5: Solve for x
    x = 189,270.52/426.40
  6. Step 6: Final answer
    x = 443.88

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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.