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Finding the Fourth Proportional to 411.15, 616.33 and 228.16

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Solution

The fourth proportional to 411.15, 616.33 and 228.16 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.15 : 616.33 = 228.16 : x
  2. Step 2: Convert to fraction form
    411.15/616.33 = 228.16/x
  3. Step 3: Cross multiply
    411.15x = 616.33 × 228.16
  4. Step 4: Simplify right side
    411.15x = 140,621.85
  5. Step 5: Solve for x
    x = 140,621.85/411.15
  6. Step 6: Final answer
    x = 342.02

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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.