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Finding the Fourth Proportional to 411.36, 619.32 and 343.92

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Solution

The fourth proportional to 411.36, 619.32 and 343.92 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 619.32 = 343.92 : x
  2. Step 2: Convert to fraction form
    411.36/619.32 = 343.92/x
  3. Step 3: Cross multiply
    411.36x = 619.32 × 343.92
  4. Step 4: Simplify right side
    411.36x = 212,996.53
  5. Step 5: Solve for x
    x = 212,996.53/411.36
  6. Step 6: Final answer
    x = 517.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.