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Finding the Fourth Proportional to 412.96, 569.89 and 226.47

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Solution

The fourth proportional to 412.96, 569.89 and 226.47 is: 312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 569.89 = 226.47 : x
  2. Step 2: Convert to fraction form
    412.96/569.89 = 226.47/x
  3. Step 3: Cross multiply
    412.96x = 569.89 × 226.47
  4. Step 4: Simplify right side
    412.96x = 129,059.01
  5. Step 5: Solve for x
    x = 129,059.01/412.96
  6. Step 6: Final answer
    x = 312.52

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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.