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Finding the Fourth Proportional to 609.79, 914.61 and 244.31

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Solution

The fourth proportional to 609.79, 914.61 and 244.31 is: 366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.79 : 914.61 = 244.31 : x
  2. Step 2: Convert to fraction form
    609.79/914.61 = 244.31/x
  3. Step 3: Cross multiply
    609.79x = 914.61 × 244.31
  4. Step 4: Simplify right side
    609.79x = 223,443.80
  5. Step 5: Solve for x
    x = 223,443.80/609.79
  6. Step 6: Final answer
    x = 366.43

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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.