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Finding the Fourth Proportional to 471.31, 706.97 and 182.82

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Solution

The fourth proportional to 471.31, 706.97 and 182.82 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.31 : 706.97 = 182.82 : x
  2. Step 2: Convert to fraction form
    471.31/706.97 = 182.82/x
  3. Step 3: Cross multiply
    471.31x = 706.97 × 182.82
  4. Step 4: Simplify right side
    471.31x = 129,243.81
  5. Step 5: Solve for x
    x = 129,243.81/471.31
  6. Step 6: Final answer
    x = 274.22

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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.