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Finding the Fourth Proportional to 323.96, 485.40 and 282.92

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Solution

The fourth proportional to 323.96, 485.40 and 282.92 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.96 : 485.40 = 282.92 : x
  2. Step 2: Convert to fraction form
    323.96/485.40 = 282.92/x
  3. Step 3: Cross multiply
    323.96x = 485.40 × 282.92
  4. Step 4: Simplify right side
    323.96x = 137,329.37
  5. Step 5: Solve for x
    x = 137,329.37/323.96
  6. Step 6: Final answer
    x = 423.91

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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.