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Finding the Fourth Proportional to 411.92, 618.38 and 320.48

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Solution

The fourth proportional to 411.92, 618.38 and 320.48 is: 481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.92 : 618.38 = 320.48 : x
  2. Step 2: Convert to fraction form
    411.92/618.38 = 320.48/x
  3. Step 3: Cross multiply
    411.92x = 618.38 × 320.48
  4. Step 4: Simplify right side
    411.92x = 198,178.42
  5. Step 5: Solve for x
    x = 198,178.42/411.92
  6. Step 6: Final answer
    x = 481.11

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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.