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Finding the Fourth Proportional to 443.60, 665.88 and 227.12

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Solution

The fourth proportional to 443.60, 665.88 and 227.12 is: 340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 665.88 = 227.12 : x
  2. Step 2: Convert to fraction form
    443.60/665.88 = 227.12/x
  3. Step 3: Cross multiply
    443.60x = 665.88 × 227.12
  4. Step 4: Simplify right side
    443.60x = 151,234.67
  5. Step 5: Solve for x
    x = 151,234.67/443.60
  6. Step 6: Final answer
    x = 340.93

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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.