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Finding the Fourth Proportional to 443.90, 666.27 and 227.63

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Solution

The fourth proportional to 443.90, 666.27 and 227.63 is: 341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.90 : 666.27 = 227.63 : x
  2. Step 2: Convert to fraction form
    443.90/666.27 = 227.63/x
  3. Step 3: Cross multiply
    443.90x = 666.27 × 227.63
  4. Step 4: Simplify right side
    443.90x = 151,664.71
  5. Step 5: Solve for x
    x = 151,664.71/443.90
  6. Step 6: Final answer
    x = 341.66

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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.