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Finding the Fourth Proportional to 406.92, 610.56 and 214.56

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Solution

The fourth proportional to 406.92, 610.56 and 214.56 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 610.56 = 214.56 : x
  2. Step 2: Convert to fraction form
    406.92/610.56 = 214.56/x
  3. Step 3: Cross multiply
    406.92x = 610.56 × 214.56
  4. Step 4: Simplify right side
    406.92x = 131,001.75
  5. Step 5: Solve for x
    x = 131,001.75/406.92
  6. Step 6: Final answer
    x = 321.93

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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.