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Finding the Fourth Proportional to 406.96, 610.84 and 234.42

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Solution

The fourth proportional to 406.96, 610.84 and 234.42 is: 351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 610.84 = 234.42 : x
  2. Step 2: Convert to fraction form
    406.96/610.84 = 234.42/x
  3. Step 3: Cross multiply
    406.96x = 610.84 × 234.42
  4. Step 4: Simplify right side
    406.96x = 143,193.11
  5. Step 5: Solve for x
    x = 143,193.11/406.96
  6. Step 6: Final answer
    x = 351.86

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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.