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Finding the Fourth Proportional to 609.22, 913.89 and 262.39

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Solution

The fourth proportional to 609.22, 913.89 and 262.39 is: 393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.22 : 913.89 = 262.39 : x
  2. Step 2: Convert to fraction form
    609.22/913.89 = 262.39/x
  3. Step 3: Cross multiply
    609.22x = 913.89 × 262.39
  4. Step 4: Simplify right side
    609.22x = 239,795.60
  5. Step 5: Solve for x
    x = 239,795.60/609.22
  6. Step 6: Final answer
    x = 393.61

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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.