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Finding the Fourth Proportional to 498.22, 687.36 and 323.50

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Solution

The fourth proportional to 498.22, 687.36 and 323.50 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 687.36 = 323.50 : x
  2. Step 2: Convert to fraction form
    498.22/687.36 = 323.50/x
  3. Step 3: Cross multiply
    498.22x = 687.36 × 323.50
  4. Step 4: Simplify right side
    498.22x = 222,360.96
  5. Step 5: Solve for x
    x = 222,360.96/498.22
  6. Step 6: Final answer
    x = 446.31

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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.