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Finding the Fourth Proportional to 663.14, 994.77 and 224.39

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Solution

The fourth proportional to 663.14, 994.77 and 224.39 is: 336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.14 : 994.77 = 224.39 : x
  2. Step 2: Convert to fraction form
    663.14/994.77 = 224.39/x
  3. Step 3: Cross multiply
    663.14x = 994.77 × 224.39
  4. Step 4: Simplify right side
    663.14x = 223,211.47
  5. Step 5: Solve for x
    x = 223,211.47/663.14
  6. Step 6: Final answer
    x = 336.60

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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.