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Finding the Fourth Proportional to 671.73, 926.61 and 422.96

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Solution

The fourth proportional to 671.73, 926.61 and 422.96 is: 583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.73 : 926.61 = 422.96 : x
  2. Step 2: Convert to fraction form
    671.73/926.61 = 422.96/x
  3. Step 3: Cross multiply
    671.73x = 926.61 × 422.96
  4. Step 4: Simplify right side
    671.73x = 391,916.22
  5. Step 5: Solve for x
    x = 391,916.22/671.73
  6. Step 6: Final answer
    x = 583.44

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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.