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Finding the Fourth Proportional to 497.92, 687.24 and 323.44

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Solution

The fourth proportional to 497.92, 687.24 and 323.44 is: 446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 687.24 = 323.44 : x
  2. Step 2: Convert to fraction form
    497.92/687.24 = 323.44/x
  3. Step 3: Cross multiply
    497.92x = 687.24 × 323.44
  4. Step 4: Simplify right side
    497.92x = 222,280.91
  5. Step 5: Solve for x
    x = 222,280.91/497.92
  6. Step 6: Final answer
    x = 446.42

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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.