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Finding the Fourth Proportional to 406.89, 610.34 and 214.65

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Solution

The fourth proportional to 406.89, 610.34 and 214.65 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.89 : 610.34 = 214.65 : x
  2. Step 2: Convert to fraction form
    406.89/610.34 = 214.65/x
  3. Step 3: Cross multiply
    406.89x = 610.34 × 214.65
  4. Step 4: Simplify right side
    406.89x = 131,008.41
  5. Step 5: Solve for x
    x = 131,008.41/406.89
  6. Step 6: Final answer
    x = 321.98

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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.