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Finding the Fourth Proportional to 471.18, 650.31 and 324.03

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Solution

The fourth proportional to 471.18, 650.31 and 324.03 is: 447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.18 : 650.31 = 324.03 : x
  2. Step 2: Convert to fraction form
    471.18/650.31 = 324.03/x
  3. Step 3: Cross multiply
    471.18x = 650.31 × 324.03
  4. Step 4: Simplify right side
    471.18x = 210,719.95
  5. Step 5: Solve for x
    x = 210,719.95/471.18
  6. Step 6: Final answer
    x = 447.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.