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Finding the Fourth Proportional to 445.62, 668.26 and 214.46

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Solution

The fourth proportional to 445.62, 668.26 and 214.46 is: 321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.62 : 668.26 = 214.46 : x
  2. Step 2: Convert to fraction form
    445.62/668.26 = 214.46/x
  3. Step 3: Cross multiply
    445.62x = 668.26 × 214.46
  4. Step 4: Simplify right side
    445.62x = 143,310.63
  5. Step 5: Solve for x
    x = 143,310.63/445.62
  6. Step 6: Final answer
    x = 321.60

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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.