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Finding the Fourth Proportional to 323.44, 485.40 and 292.40

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Solution

The fourth proportional to 323.44, 485.40 and 292.40 is: 438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.44 : 485.40 = 292.40 : x
  2. Step 2: Convert to fraction form
    323.44/485.40 = 292.40/x
  3. Step 3: Cross multiply
    323.44x = 485.40 × 292.40
  4. Step 4: Simplify right side
    323.44x = 141,930.96
  5. Step 5: Solve for x
    x = 141,930.96/323.44
  6. Step 6: Final answer
    x = 438.82

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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.