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Finding the Fourth Proportional to 426.32, 635.19 and 398.38

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Solution

The fourth proportional to 426.32, 635.19 and 398.38 is: 593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.32 : 635.19 = 398.38 : x
  2. Step 2: Convert to fraction form
    426.32/635.19 = 398.38/x
  3. Step 3: Cross multiply
    426.32x = 635.19 × 398.38
  4. Step 4: Simplify right side
    426.32x = 253,046.99
  5. Step 5: Solve for x
    x = 253,046.99/426.32
  6. Step 6: Final answer
    x = 593.56

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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.