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Finding the Fourth Proportional to 453.86, 680.87 and 323.54

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Solution

The fourth proportional to 453.86, 680.87 and 323.54 is: 485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.86 : 680.87 = 323.54 : x
  2. Step 2: Convert to fraction form
    453.86/680.87 = 323.54/x
  3. Step 3: Cross multiply
    453.86x = 680.87 × 323.54
  4. Step 4: Simplify right side
    453.86x = 220,286.08
  5. Step 5: Solve for x
    x = 220,286.08/453.86
  6. Step 6: Final answer
    x = 485.36

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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.