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Finding the Fourth Proportional to 412.49, 569.22 and 225.97

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Solution

The fourth proportional to 412.49, 569.22 and 225.97 is: 311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 569.22 = 225.97 : x
  2. Step 2: Convert to fraction form
    412.49/569.22 = 225.97/x
  3. Step 3: Cross multiply
    412.49x = 569.22 × 225.97
  4. Step 4: Simplify right side
    412.49x = 128,626.64
  5. Step 5: Solve for x
    x = 128,626.64/412.49
  6. Step 6: Final answer
    x = 311.83

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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.