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Finding the Fourth Proportional to 403.51, 556.85 and 226.48

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Solution

The fourth proportional to 403.51, 556.85 and 226.48 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.51 : 556.85 = 226.48 : x
  2. Step 2: Convert to fraction form
    403.51/556.85 = 226.48/x
  3. Step 3: Cross multiply
    403.51x = 556.85 × 226.48
  4. Step 4: Simplify right side
    403.51x = 126,115.54
  5. Step 5: Solve for x
    x = 126,115.54/403.51
  6. Step 6: Final answer
    x = 312.55

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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.