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Finding the Fourth Proportional to 411.29, 617.13 and 218.91

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Solution

The fourth proportional to 411.29, 617.13 and 218.91 is: 328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 617.13 = 218.91 : x
  2. Step 2: Convert to fraction form
    411.29/617.13 = 218.91/x
  3. Step 3: Cross multiply
    411.29x = 617.13 × 218.91
  4. Step 4: Simplify right side
    411.29x = 135,095.93
  5. Step 5: Solve for x
    x = 135,095.93/411.29
  6. Step 6: Final answer
    x = 328.47

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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.