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Finding the Fourth Proportional to 498.56, 687.36 and 323.84

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Solution

The fourth proportional to 498.56, 687.36 and 323.84 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 687.36 = 323.84 : x
  2. Step 2: Convert to fraction form
    498.56/687.36 = 323.84/x
  3. Step 3: Cross multiply
    498.56x = 687.36 × 323.84
  4. Step 4: Simplify right side
    498.56x = 222,594.66
  5. Step 5: Solve for x
    x = 222,594.66/498.56
  6. Step 6: Final answer
    x = 446.48

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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.