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Finding the Fourth Proportional to 671.84, 927.44 and 409.96

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Solution

The fourth proportional to 671.84, 927.44 and 409.96 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 927.44 = 409.96 : x
  2. Step 2: Convert to fraction form
    671.84/927.44 = 409.96/x
  3. Step 3: Cross multiply
    671.84x = 927.44 × 409.96
  4. Step 4: Simplify right side
    671.84x = 380,213.30
  5. Step 5: Solve for x
    x = 380,213.30/671.84
  6. Step 6: Final answer
    x = 565.93

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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.