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Finding the Fourth Proportional to 844.69, 1,266.16 and 324.55

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Solution

The fourth proportional to 844.69, 1,266.16 and 324.55 is: 486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.69 : 1,266.16 = 324.55 : x
  2. Step 2: Convert to fraction form
    844.69/1,266.16 = 324.55/x
  3. Step 3: Cross multiply
    844.69x = 1,266.16 × 324.55
  4. Step 4: Simplify right side
    844.69x = 410,924.27
  5. Step 5: Solve for x
    x = 410,924.27/844.69
  6. Step 6: Final answer
    x = 486.48

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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.