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Finding the Fourth Proportional to 498.17, 687.96 and 323.84

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Solution

The fourth proportional to 498.17, 687.96 and 323.84 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.17 : 687.96 = 323.84 : x
  2. Step 2: Convert to fraction form
    498.17/687.96 = 323.84/x
  3. Step 3: Cross multiply
    498.17x = 687.96 × 323.84
  4. Step 4: Simplify right side
    498.17x = 222,785.53
  5. Step 5: Solve for x
    x = 222,785.53/498.17
  6. Step 6: Final answer
    x = 447.21

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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.