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Finding the Fourth Proportional to 471.56, 706.92 and 227.84

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Solution

The fourth proportional to 471.56, 706.92 and 227.84 is: 341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 706.92 = 227.84 : x
  2. Step 2: Convert to fraction form
    471.56/706.92 = 227.84/x
  3. Step 3: Cross multiply
    471.56x = 706.92 × 227.84
  4. Step 4: Simplify right side
    471.56x = 161,064.65
  5. Step 5: Solve for x
    x = 161,064.65/471.56
  6. Step 6: Final answer
    x = 341.56

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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.