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Finding the Fourth Proportional to 498.21, 687.24 and 323.25

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Solution

The fourth proportional to 498.21, 687.24 and 323.25 is: 445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.21 : 687.24 = 323.25 : x
  2. Step 2: Convert to fraction form
    498.21/687.24 = 323.25/x
  3. Step 3: Cross multiply
    498.21x = 687.24 × 323.25
  4. Step 4: Simplify right side
    498.21x = 222,150.33
  5. Step 5: Solve for x
    x = 222,150.33/498.21
  6. Step 6: Final answer
    x = 445.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.