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Finding the Fourth Proportional to 411.45, 616.36 and 308.85

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Solution

The fourth proportional to 411.45, 616.36 and 308.85 is: 462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.45 : 616.36 = 308.85 : x
  2. Step 2: Convert to fraction form
    411.45/616.36 = 308.85/x
  3. Step 3: Cross multiply
    411.45x = 616.36 × 308.85
  4. Step 4: Simplify right side
    411.45x = 190,362.79
  5. Step 5: Solve for x
    x = 190,362.79/411.45
  6. Step 6: Final answer
    x = 462.66

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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.