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Finding the Fourth Proportional to 671.83, 927.14 and 377.09

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Solution

The fourth proportional to 671.83, 927.14 and 377.09 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.83 : 927.14 = 377.09 : x
  2. Step 2: Convert to fraction form
    671.83/927.14 = 377.09/x
  3. Step 3: Cross multiply
    671.83x = 927.14 × 377.09
  4. Step 4: Simplify right side
    671.83x = 349,615.22
  5. Step 5: Solve for x
    x = 349,615.22/671.83
  6. Step 6: Final answer
    x = 520.39

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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.