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Finding the Fourth Proportional to 671.27, 926.39 and 409.25

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Solution

The fourth proportional to 671.27, 926.39 and 409.25 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.27 : 926.39 = 409.25 : x
  2. Step 2: Convert to fraction form
    671.27/926.39 = 409.25/x
  3. Step 3: Cross multiply
    671.27x = 926.39 × 409.25
  4. Step 4: Simplify right side
    671.27x = 379,121.50
  5. Step 5: Solve for x
    x = 379,121.50/671.27
  6. Step 6: Final answer
    x = 564.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.