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Finding the Fourth Proportional to 471.93, 706.77 and 227.67

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Solution

The fourth proportional to 471.93, 706.77 and 227.67 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.93 : 706.77 = 227.67 : x
  2. Step 2: Convert to fraction form
    471.93/706.77 = 227.67/x
  3. Step 3: Cross multiply
    471.93x = 706.77 × 227.67
  4. Step 4: Simplify right side
    471.93x = 160,910.33
  5. Step 5: Solve for x
    x = 160,910.33/471.93
  6. Step 6: Final answer
    x = 340.96

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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.