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Finding the Fourth Proportional to 406.83, 610.62 and 223.97

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Solution

The fourth proportional to 406.83, 610.62 and 223.97 is: 336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 610.62 = 223.97 : x
  2. Step 2: Convert to fraction form
    406.83/610.62 = 223.97/x
  3. Step 3: Cross multiply
    406.83x = 610.62 × 223.97
  4. Step 4: Simplify right side
    406.83x = 136,760.56
  5. Step 5: Solve for x
    x = 136,760.56/406.83
  6. Step 6: Final answer
    x = 336.16

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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.