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Finding the Fourth Proportional to 498.43, 687.84 and 324.08

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Solution

The fourth proportional to 498.43, 687.84 and 324.08 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.43 : 687.84 = 324.08 : x
  2. Step 2: Convert to fraction form
    498.43/687.84 = 324.08/x
  3. Step 3: Cross multiply
    498.43x = 687.84 × 324.08
  4. Step 4: Simplify right side
    498.43x = 222,915.19
  5. Step 5: Solve for x
    x = 222,915.19/498.43
  6. Step 6: Final answer
    x = 447.23

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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.