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Finding the Fourth Proportional to 609.28, 914.10 and 244.18

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Solution

The fourth proportional to 609.28, 914.10 and 244.18 is: 366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.28 : 914.10 = 244.18 : x
  2. Step 2: Convert to fraction form
    609.28/914.10 = 244.18/x
  3. Step 3: Cross multiply
    609.28x = 914.10 × 244.18
  4. Step 4: Simplify right side
    609.28x = 223,204.94
  5. Step 5: Solve for x
    x = 223,204.94/609.28
  6. Step 6: Final answer
    x = 366.34

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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.