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Finding the Fourth Proportional to 412.88, 569.77 and 226.37

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Solution

The fourth proportional to 412.88, 569.77 and 226.37 is: 312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 569.77 = 226.37 : x
  2. Step 2: Convert to fraction form
    412.88/569.77 = 226.37/x
  3. Step 3: Cross multiply
    412.88x = 569.77 × 226.37
  4. Step 4: Simplify right side
    412.88x = 128,978.83
  5. Step 5: Solve for x
    x = 128,978.83/412.88
  6. Step 6: Final answer
    x = 312.39

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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.