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Finding the Fourth Proportional to 411.18, 617.02 and 343.54

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Solution

The fourth proportional to 411.18, 617.02 and 343.54 is: 515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 617.02 = 343.54 : x
  2. Step 2: Convert to fraction form
    411.18/617.02 = 343.54/x
  3. Step 3: Cross multiply
    411.18x = 617.02 × 343.54
  4. Step 4: Simplify right side
    411.18x = 211,971.05
  5. Step 5: Solve for x
    x = 211,971.05/411.18
  6. Step 6: Final answer
    x = 515.52

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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.