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Finding the Fourth Proportional to 406.83, 609.60 and 233.28

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Solution

The fourth proportional to 406.83, 609.60 and 233.28 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 609.60 = 233.28 : x
  2. Step 2: Convert to fraction form
    406.83/609.60 = 233.28/x
  3. Step 3: Cross multiply
    406.83x = 609.60 × 233.28
  4. Step 4: Simplify right side
    406.83x = 142,207.49
  5. Step 5: Solve for x
    x = 142,207.49/406.83
  6. Step 6: Final answer
    x = 349.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.