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Finding the Fourth Proportional to 471.38, 707.27 and 227.77

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Solution

The fourth proportional to 471.38, 707.27 and 227.77 is: 341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.38 : 707.27 = 227.77 : x
  2. Step 2: Convert to fraction form
    471.38/707.27 = 227.77/x
  3. Step 3: Cross multiply
    471.38x = 707.27 × 227.77
  4. Step 4: Simplify right side
    471.38x = 161,091.98
  5. Step 5: Solve for x
    x = 161,091.98/471.38
  6. Step 6: Final answer
    x = 341.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.