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Finding the Fourth Proportional to 488.92, 674.52 and 323.23

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Solution

The fourth proportional to 488.92, 674.52 and 323.23 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 674.52 = 323.23 : x
  2. Step 2: Convert to fraction form
    488.92/674.52 = 323.23/x
  3. Step 3: Cross multiply
    488.92x = 674.52 × 323.23
  4. Step 4: Simplify right side
    488.92x = 218,025.10
  5. Step 5: Solve for x
    x = 218,025.10/488.92
  6. Step 6: Final answer
    x = 445.93

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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.