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Finding the Fourth Proportional to 471.82, 706.67 and 252.05

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Solution

The fourth proportional to 471.82, 706.67 and 252.05 is: 377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.82 : 706.67 = 252.05 : x
  2. Step 2: Convert to fraction form
    471.82/706.67 = 252.05/x
  3. Step 3: Cross multiply
    471.82x = 706.67 × 252.05
  4. Step 4: Simplify right side
    471.82x = 178,116.68
  5. Step 5: Solve for x
    x = 178,116.68/471.82
  6. Step 6: Final answer
    x = 377.51

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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.