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Finding the Fourth Proportional to 403.23, 556.49 and 226.23

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Solution

The fourth proportional to 403.23, 556.49 and 226.23 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.23 : 556.49 = 226.23 : x
  2. Step 2: Convert to fraction form
    403.23/556.49 = 226.23/x
  3. Step 3: Cross multiply
    403.23x = 556.49 × 226.23
  4. Step 4: Simplify right side
    403.23x = 125,894.73
  5. Step 5: Solve for x
    x = 125,894.73/403.23
  6. Step 6: Final answer
    x = 312.22

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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.