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Finding the Fourth Proportional to 471.12, 649.92 and 323.76

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Solution

The fourth proportional to 471.12, 649.92 and 323.76 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.12 : 649.92 = 323.76 : x
  2. Step 2: Convert to fraction form
    471.12/649.92 = 323.76/x
  3. Step 3: Cross multiply
    471.12x = 649.92 × 323.76
  4. Step 4: Simplify right side
    471.12x = 210,418.10
  5. Step 5: Solve for x
    x = 210,418.10/471.12
  6. Step 6: Final answer
    x = 446.63

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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.