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Finding the Fourth Proportional to 844.19, 1,266.29 and 296.36

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Solution

The fourth proportional to 844.19, 1,266.29 and 296.36 is: 444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,266.29 = 296.36 : x
  2. Step 2: Convert to fraction form
    844.19/1,266.29 = 296.36/x
  3. Step 3: Cross multiply
    844.19x = 1,266.29 × 296.36
  4. Step 4: Simplify right side
    844.19x = 375,269.89
  5. Step 5: Solve for x
    x = 375,269.89/844.19
  6. Step 6: Final answer
    x = 444.54

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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.