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Finding the Fourth Proportional to 412.78, 569.61 and 226.26

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Solution

The fourth proportional to 412.78, 569.61 and 226.26 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 569.61 = 226.26 : x
  2. Step 2: Convert to fraction form
    412.78/569.61 = 226.26/x
  3. Step 3: Cross multiply
    412.78x = 569.61 × 226.26
  4. Step 4: Simplify right side
    412.78x = 128,879.96
  5. Step 5: Solve for x
    x = 128,879.96/412.78
  6. Step 6: Final answer
    x = 312.22

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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.