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Finding the Fourth Proportional to 406.90, 610.59 and 233.78

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Solution

The fourth proportional to 406.90, 610.59 and 233.78 is: 350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 610.59 = 233.78 : x
  2. Step 2: Convert to fraction form
    406.90/610.59 = 233.78/x
  3. Step 3: Cross multiply
    406.90x = 610.59 × 233.78
  4. Step 4: Simplify right side
    406.90x = 142,743.73
  5. Step 5: Solve for x
    x = 142,743.73/406.90
  6. Step 6: Final answer
    x = 350.81

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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.