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Finding the Fourth Proportional to 498.20, 687.53 and 323.54

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Solution

The fourth proportional to 498.20, 687.53 and 323.54 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.20 : 687.53 = 323.54 : x
  2. Step 2: Convert to fraction form
    498.20/687.53 = 323.54/x
  3. Step 3: Cross multiply
    498.20x = 687.53 × 323.54
  4. Step 4: Simplify right side
    498.20x = 222,445.98
  5. Step 5: Solve for x
    x = 222,445.98/498.20
  6. Step 6: Final answer
    x = 446.50

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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.