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Finding the Fourth Proportional to 406.46, 609.20 and 233.25

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Solution

The fourth proportional to 406.46, 609.20 and 233.25 is: 349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 609.20 = 233.25 : x
  2. Step 2: Convert to fraction form
    406.46/609.20 = 233.25/x
  3. Step 3: Cross multiply
    406.46x = 609.20 × 233.25
  4. Step 4: Simplify right side
    406.46x = 142,092.85
  5. Step 5: Solve for x
    x = 142,092.85/406.46
  6. Step 6: Final answer
    x = 349.59

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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.