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Finding the Fourth Proportional to 671.86, 927.33 and 409.96

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Solution

The fourth proportional to 671.86, 927.33 and 409.96 is: 565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.86 : 927.33 = 409.96 : x
  2. Step 2: Convert to fraction form
    671.86/927.33 = 409.96/x
  3. Step 3: Cross multiply
    671.86x = 927.33 × 409.96
  4. Step 4: Simplify right side
    671.86x = 380,163.57
  5. Step 5: Solve for x
    x = 380,163.57/671.86
  6. Step 6: Final answer
    x = 565.84

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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.