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Finding the Fourth Proportional to 609.50, 914.15 and 244.19

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Solution

The fourth proportional to 609.50, 914.15 and 244.19 is: 366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 914.15 = 244.19 : x
  2. Step 2: Convert to fraction form
    609.50/914.15 = 244.19/x
  3. Step 3: Cross multiply
    609.50x = 914.15 × 244.19
  4. Step 4: Simplify right side
    609.50x = 223,229.18
  5. Step 5: Solve for x
    x = 223,229.18/609.50
  6. Step 6: Final answer
    x = 366.25

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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.