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Finding the Fourth Proportional to 445.60, 668.42 and 229.60

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Solution

The fourth proportional to 445.60, 668.42 and 229.60 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.60 : 668.42 = 229.60 : x
  2. Step 2: Convert to fraction form
    445.60/668.42 = 229.60/x
  3. Step 3: Cross multiply
    445.60x = 668.42 × 229.60
  4. Step 4: Simplify right side
    445.60x = 153,469.23
  5. Step 5: Solve for x
    x = 153,469.23/445.60
  6. Step 6: Final answer
    x = 344.41

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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.