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Finding the Fourth Proportional to 609.76, 914.08 and 244.48

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Solution

The fourth proportional to 609.76, 914.08 and 244.48 is: 366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 914.08 = 244.48 : x
  2. Step 2: Convert to fraction form
    609.76/914.08 = 244.48/x
  3. Step 3: Cross multiply
    609.76x = 914.08 × 244.48
  4. Step 4: Simplify right side
    609.76x = 223,474.28
  5. Step 5: Solve for x
    x = 223,474.28/609.76
  6. Step 6: Final answer
    x = 366.50

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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.