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Finding the Fourth Proportional to 412.48, 618.73 and 229.73

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Solution

The fourth proportional to 412.48, 618.73 and 229.73 is: 344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 618.73 = 229.73 : x
  2. Step 2: Convert to fraction form
    412.48/618.73 = 229.73/x
  3. Step 3: Cross multiply
    412.48x = 618.73 × 229.73
  4. Step 4: Simplify right side
    412.48x = 142,142.96
  5. Step 5: Solve for x
    x = 142,142.96/412.48
  6. Step 6: Final answer
    x = 344.61

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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.