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Finding the Fourth Proportional to 323.46, 484.11 and 283.37

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Solution

The fourth proportional to 323.46, 484.11 and 283.37 is: 424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.46 : 484.11 = 283.37 : x
  2. Step 2: Convert to fraction form
    323.46/484.11 = 283.37/x
  3. Step 3: Cross multiply
    323.46x = 484.11 × 283.37
  4. Step 4: Simplify right side
    323.46x = 137,179.83
  5. Step 5: Solve for x
    x = 137,179.83/323.46
  6. Step 6: Final answer
    x = 424.10

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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.