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Finding the Fourth Proportional to 403.23, 556.43 and 226.18

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Solution

The fourth proportional to 403.23, 556.43 and 226.18 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.23 : 556.43 = 226.18 : x
  2. Step 2: Convert to fraction form
    403.23/556.43 = 226.18/x
  3. Step 3: Cross multiply
    403.23x = 556.43 × 226.18
  4. Step 4: Simplify right side
    403.23x = 125,853.34
  5. Step 5: Solve for x
    x = 125,853.34/403.23
  6. Step 6: Final answer
    x = 312.11

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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.