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Finding the Fourth Proportional to 471.43, 706.02 and 227.17

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Solution

The fourth proportional to 471.43, 706.02 and 227.17 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.43 : 706.02 = 227.17 : x
  2. Step 2: Convert to fraction form
    471.43/706.02 = 227.17/x
  3. Step 3: Cross multiply
    471.43x = 706.02 × 227.17
  4. Step 4: Simplify right side
    471.43x = 160,386.56
  5. Step 5: Solve for x
    x = 160,386.56/471.43
  6. Step 6: Final answer
    x = 340.21

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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.