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Finding the Fourth Proportional to 419.31, 627.98 and 272.97

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Solution

The fourth proportional to 419.31, 627.98 and 272.97 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 627.98 = 272.97 : x
  2. Step 2: Convert to fraction form
    419.31/627.98 = 272.97/x
  3. Step 3: Cross multiply
    419.31x = 627.98 × 272.97
  4. Step 4: Simplify right side
    419.31x = 171,418.34
  5. Step 5: Solve for x
    x = 171,418.34/419.31
  6. Step 6: Final answer
    x = 408.81

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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.