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Finding the Fourth Proportional to 403.49, 556.82 and 226.49

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Solution

The fourth proportional to 403.49, 556.82 and 226.49 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.49 : 556.82 = 226.49 : x
  2. Step 2: Convert to fraction form
    403.49/556.82 = 226.49/x
  3. Step 3: Cross multiply
    403.49x = 556.82 × 226.49
  4. Step 4: Simplify right side
    403.49x = 126,112.98
  5. Step 5: Solve for x
    x = 126,112.98/403.49
  6. Step 6: Final answer
    x = 312.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.