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Finding the Fourth Proportional to 498.01, 687.36 and 323.05

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Solution

The fourth proportional to 498.01, 687.36 and 323.05 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.01 : 687.36 = 323.05 : x
  2. Step 2: Convert to fraction form
    498.01/687.36 = 323.05/x
  3. Step 3: Cross multiply
    498.01x = 687.36 × 323.05
  4. Step 4: Simplify right side
    498.01x = 222,051.14
  5. Step 5: Solve for x
    x = 222,051.14/498.01
  6. Step 6: Final answer
    x = 445.88

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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.