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Finding the Fourth Proportional to 412.91, 569.83 and 226.41

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Solution

The fourth proportional to 412.91, 569.83 and 226.41 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.91 : 569.83 = 226.41 : x
  2. Step 2: Convert to fraction form
    412.91/569.83 = 226.41/x
  3. Step 3: Cross multiply
    412.91x = 569.83 × 226.41
  4. Step 4: Simplify right side
    412.91x = 129,013.58
  5. Step 5: Solve for x
    x = 129,013.58/412.91
  6. Step 6: Final answer
    x = 312.45

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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.