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Finding the Fourth Proportional to 412.89, 569.83 and 226.41

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Solution

The fourth proportional to 412.89, 569.83 and 226.41 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 569.83 = 226.41 : x
  2. Step 2: Convert to fraction form
    412.89/569.83 = 226.41/x
  3. Step 3: Cross multiply
    412.89x = 569.83 × 226.41
  4. Step 4: Simplify right side
    412.89x = 129,015.21
  5. Step 5: Solve for x
    x = 129,015.21/412.89
  6. Step 6: Final answer
    x = 312.47

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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.