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Finding the Fourth Proportional to 671.24, 926.33 and 409.25

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Solution

The fourth proportional to 671.24, 926.33 and 409.25 is: 564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.24 : 926.33 = 409.25 : x
  2. Step 2: Convert to fraction form
    671.24/926.33 = 409.25/x
  3. Step 3: Cross multiply
    671.24x = 926.33 × 409.25
  4. Step 4: Simplify right side
    671.24x = 379,100.55
  5. Step 5: Solve for x
    x = 379,100.55/671.24
  6. Step 6: Final answer
    x = 564.78

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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.