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Finding the Fourth Proportional to 403.57, 556.89 and 226.50

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Solution

The fourth proportional to 403.57, 556.89 and 226.50 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.57 : 556.89 = 226.50 : x
  2. Step 2: Convert to fraction form
    403.57/556.89 = 226.50/x
  3. Step 3: Cross multiply
    403.57x = 556.89 × 226.50
  4. Step 4: Simplify right side
    403.57x = 126,134.32
  5. Step 5: Solve for x
    x = 126,134.32/403.57
  6. Step 6: Final answer
    x = 312.54

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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.