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Finding the Fourth Proportional to 492.14, 679.20 and 295.78

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Solution

The fourth proportional to 492.14, 679.20 and 295.78 is: 408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.14 : 679.20 = 295.78 : x
  2. Step 2: Convert to fraction form
    492.14/679.20 = 295.78/x
  3. Step 3: Cross multiply
    492.14x = 679.20 × 295.78
  4. Step 4: Simplify right side
    492.14x = 200,893.78
  5. Step 5: Solve for x
    x = 200,893.78/492.14
  6. Step 6: Final answer
    x = 408.20

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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.