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Finding the Fourth Proportional to 844.06, 1,266.21 and 296.14

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Solution

The fourth proportional to 844.06, 1,266.21 and 296.14 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.06 : 1,266.21 = 296.14 : x
  2. Step 2: Convert to fraction form
    844.06/1,266.21 = 296.14/x
  3. Step 3: Cross multiply
    844.06x = 1,266.21 × 296.14
  4. Step 4: Simplify right side
    844.06x = 374,977.01
  5. Step 5: Solve for x
    x = 374,977.01/844.06
  6. Step 6: Final answer
    x = 444.26

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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.