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Finding the Fourth Proportional to 403.27, 556.47 and 226.23

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Solution

The fourth proportional to 403.27, 556.47 and 226.23 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.27 : 556.47 = 226.23 : x
  2. Step 2: Convert to fraction form
    403.27/556.47 = 226.23/x
  3. Step 3: Cross multiply
    403.27x = 556.47 × 226.23
  4. Step 4: Simplify right side
    403.27x = 125,890.21
  5. Step 5: Solve for x
    x = 125,890.21/403.27
  6. Step 6: Final answer
    x = 312.17

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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.