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Finding the Fourth Proportional to 411.34, 616.83 and 218.92

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Solution

The fourth proportional to 411.34, 616.83 and 218.92 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.34 : 616.83 = 218.92 : x
  2. Step 2: Convert to fraction form
    411.34/616.83 = 218.92/x
  3. Step 3: Cross multiply
    411.34x = 616.83 × 218.92
  4. Step 4: Simplify right side
    411.34x = 135,036.42
  5. Step 5: Solve for x
    x = 135,036.42/411.34
  6. Step 6: Final answer
    x = 328.28

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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.