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Finding the Fourth Proportional to 411.45, 616.38 and 238.20

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Solution

The fourth proportional to 411.45, 616.38 and 238.20 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.45 : 616.38 = 238.20 : x
  2. Step 2: Convert to fraction form
    411.45/616.38 = 238.20/x
  3. Step 3: Cross multiply
    411.45x = 616.38 × 238.20
  4. Step 4: Simplify right side
    411.45x = 146,821.72
  5. Step 5: Solve for x
    x = 146,821.72/411.45
  6. Step 6: Final answer
    x = 356.84

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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.