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Finding the Fourth Proportional to 403.69, 556.96 and 226.63

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Solution

The fourth proportional to 403.69, 556.96 and 226.63 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.69 : 556.96 = 226.63 : x
  2. Step 2: Convert to fraction form
    403.69/556.96 = 226.63/x
  3. Step 3: Cross multiply
    403.69x = 556.96 × 226.63
  4. Step 4: Simplify right side
    403.69x = 126,223.84
  5. Step 5: Solve for x
    x = 126,223.84/403.69
  6. Step 6: Final answer
    x = 312.68

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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.