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Finding the Fourth Proportional to 844.09, 1,266.17 and 296.27

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Solution

The fourth proportional to 844.09, 1,266.17 and 296.27 is: 444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.09 : 1,266.17 = 296.27 : x
  2. Step 2: Convert to fraction form
    844.09/1,266.17 = 296.27/x
  3. Step 3: Cross multiply
    844.09x = 1,266.17 × 296.27
  4. Step 4: Simplify right side
    844.09x = 375,129.87
  5. Step 5: Solve for x
    x = 375,129.87/844.09
  6. Step 6: Final answer
    x = 444.42

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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.