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Finding the Fourth Proportional to 671, 925.71 and 408.92

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Solution

The fourth proportional to 671, 925.71 and 408.92 is: 564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    671 : 925.71 = 408.92 : x
  2. Step 2: Convert to fraction form
    671/925.71 = 408.92/x
  3. Step 3: Cross multiply
    671x = 925.71 × 408.92
  4. Step 4: Simplify right side
    671x = 378,541.33
  5. Step 5: Solve for x
    x = 378,541.33/671
  6. Step 6: Final answer
    x = 564.15

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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.