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Finding the Fourth Proportional to 323.57, 445.44 and 292.39

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Solution

The fourth proportional to 323.57, 445.44 and 292.39 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.57 : 445.44 = 292.39 : x
  2. Step 2: Convert to fraction form
    323.57/445.44 = 292.39/x
  3. Step 3: Cross multiply
    323.57x = 445.44 × 292.39
  4. Step 4: Simplify right side
    323.57x = 130,243.05
  5. Step 5: Solve for x
    x = 130,243.05/323.57
  6. Step 6: Final answer
    x = 402.52

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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.