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Finding the Fourth Proportional to 411.11, 617.63 and 356.43

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Solution

The fourth proportional to 411.11, 617.63 and 356.43 is: 535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.11 : 617.63 = 356.43 : x
  2. Step 2: Convert to fraction form
    411.11/617.63 = 356.43/x
  3. Step 3: Cross multiply
    411.11x = 617.63 × 356.43
  4. Step 4: Simplify right side
    411.11x = 220,142.39
  5. Step 5: Solve for x
    x = 220,142.39/411.11
  6. Step 6: Final answer
    x = 535.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.