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Finding the Fourth Proportional to 411.63, 616.53 and 228.78

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Solution

The fourth proportional to 411.63, 616.53 and 228.78 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.63 : 616.53 = 228.78 : x
  2. Step 2: Convert to fraction form
    411.63/616.53 = 228.78/x
  3. Step 3: Cross multiply
    411.63x = 616.53 × 228.78
  4. Step 4: Simplify right side
    411.63x = 141,049.73
  5. Step 5: Solve for x
    x = 141,049.73/411.63
  6. Step 6: Final answer
    x = 342.66

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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.