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Finding the Fourth Proportional to 609.11, 914.00 and 243.92

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Solution

The fourth proportional to 609.11, 914.00 and 243.92 is: 366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.11 : 914.00 = 243.92 : x
  2. Step 2: Convert to fraction form
    609.11/914.00 = 243.92/x
  3. Step 3: Cross multiply
    609.11x = 914.00 × 243.92
  4. Step 4: Simplify right side
    609.11x = 222,937.09
  5. Step 5: Solve for x
    x = 222,937.09/609.11
  6. Step 6: Final answer
    x = 366.01

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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.