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Finding the Fourth Proportional to 403.07, 556.27 and 226.05

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Solution

The fourth proportional to 403.07, 556.27 and 226.05 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.07 : 556.27 = 226.05 : x
  2. Step 2: Convert to fraction form
    403.07/556.27 = 226.05/x
  3. Step 3: Cross multiply
    403.07x = 556.27 × 226.05
  4. Step 4: Simplify right side
    403.07x = 125,744.27
  5. Step 5: Solve for x
    x = 125,744.27/403.07
  6. Step 6: Final answer
    x = 311.96

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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.