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Finding the Fourth Proportional to 597.92, 896.27 and 323.73

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Solution

The fourth proportional to 597.92, 896.27 and 323.73 is: 485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 896.27 = 323.73 : x
  2. Step 2: Convert to fraction form
    597.92/896.27 = 323.73/x
  3. Step 3: Cross multiply
    597.92x = 896.27 × 323.73
  4. Step 4: Simplify right side
    597.92x = 290,147.87
  5. Step 5: Solve for x
    x = 290,147.87/597.92
  6. Step 6: Final answer
    x = 485.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.