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Finding the Fourth Proportional to 411.88, 617.34 and 219.16

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Solution

The fourth proportional to 411.88, 617.34 and 219.16 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 617.34 = 219.16 : x
  2. Step 2: Convert to fraction form
    411.88/617.34 = 219.16/x
  3. Step 3: Cross multiply
    411.88x = 617.34 × 219.16
  4. Step 4: Simplify right side
    411.88x = 135,296.23
  5. Step 5: Solve for x
    x = 135,296.23/411.88
  6. Step 6: Final answer
    x = 328.48

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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.