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Finding the Fourth Proportional to 412.31, 616.64 and 308.43

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Solution

The fourth proportional to 412.31, 616.64 and 308.43 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 616.64 = 308.43 : x
  2. Step 2: Convert to fraction form
    412.31/616.64 = 308.43/x
  3. Step 3: Cross multiply
    412.31x = 616.64 × 308.43
  4. Step 4: Simplify right side
    412.31x = 190,188.73
  5. Step 5: Solve for x
    x = 190,188.73/412.31
  6. Step 6: Final answer
    x = 461.28

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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.