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Finding the Fourth Proportional to 844.03, 1,266.18 and 296.07

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Solution

The fourth proportional to 844.03, 1,266.18 and 296.07 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.03 : 1,266.18 = 296.07 : x
  2. Step 2: Convert to fraction form
    844.03/1,266.18 = 296.07/x
  3. Step 3: Cross multiply
    844.03x = 1,266.18 × 296.07
  4. Step 4: Simplify right side
    844.03x = 374,870.84
  5. Step 5: Solve for x
    x = 374,870.84/844.03
  6. Step 6: Final answer
    x = 444.15

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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.