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Finding the Fourth Proportional to 412.34, 617.22 and 257.73

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Solution

The fourth proportional to 412.34, 617.22 and 257.73 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 617.22 = 257.73 : x
  2. Step 2: Convert to fraction form
    412.34/617.22 = 257.73/x
  3. Step 3: Cross multiply
    412.34x = 617.22 × 257.73
  4. Step 4: Simplify right side
    412.34x = 159,077.27
  5. Step 5: Solve for x
    x = 159,077.27/412.34
  6. Step 6: Final answer
    x = 385.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.