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Finding the Fourth Proportional to 671.80, 927.13 and 377.09

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Solution

The fourth proportional to 671.80, 927.13 and 377.09 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.80 : 927.13 = 377.09 : x
  2. Step 2: Convert to fraction form
    671.80/927.13 = 377.09/x
  3. Step 3: Cross multiply
    671.80x = 927.13 × 377.09
  4. Step 4: Simplify right side
    671.80x = 349,611.45
  5. Step 5: Solve for x
    x = 349,611.45/671.80
  6. Step 6: Final answer
    x = 520.41

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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.