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Finding the Fourth Proportional to 492.67, 679.94 and 422.96

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Solution

The fourth proportional to 492.67, 679.94 and 422.96 is: 583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 679.94 = 422.96 : x
  2. Step 2: Convert to fraction form
    492.67/679.94 = 422.96/x
  3. Step 3: Cross multiply
    492.67x = 679.94 × 422.96
  4. Step 4: Simplify right side
    492.67x = 287,589.83
  5. Step 5: Solve for x
    x = 287,589.83/492.67
  6. Step 6: Final answer
    x = 583.73

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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.