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Finding the Fourth Proportional to 426.37, 639.65 and 231.54

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Solution

The fourth proportional to 426.37, 639.65 and 231.54 is: 347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.37 : 639.65 = 231.54 : x
  2. Step 2: Convert to fraction form
    426.37/639.65 = 231.54/x
  3. Step 3: Cross multiply
    426.37x = 639.65 × 231.54
  4. Step 4: Simplify right side
    426.37x = 148,105.80
  5. Step 5: Solve for x
    x = 148,105.80/426.37
  6. Step 6: Final answer
    x = 347.37

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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.