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Finding the Fourth Proportional to 322.47, 484.39 and 185.78

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Solution

The fourth proportional to 322.47, 484.39 and 185.78 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.47 : 484.39 = 185.78 : x
  2. Step 2: Convert to fraction form
    322.47/484.39 = 185.78/x
  3. Step 3: Cross multiply
    322.47x = 484.39 × 185.78
  4. Step 4: Simplify right side
    322.47x = 89,989.97
  5. Step 5: Solve for x
    x = 89,989.97/322.47
  6. Step 6: Final answer
    x = 279.06

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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.