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Finding the Fourth Proportional to 323.73, 485.62 and 285.66

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Solution

The fourth proportional to 323.73, 485.62 and 285.66 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.73 : 485.62 = 285.66 : x
  2. Step 2: Convert to fraction form
    323.73/485.62 = 285.66/x
  3. Step 3: Cross multiply
    323.73x = 485.62 × 285.66
  4. Step 4: Simplify right side
    323.73x = 138,724.14
  5. Step 5: Solve for x
    x = 138,724.14/323.73
  6. Step 6: Final answer
    x = 428.51

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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.