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Finding the Fourth Proportional to 492.92, 680.24 and 271.86

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Solution

The fourth proportional to 492.92, 680.24 and 271.86 is: 375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 680.24 = 271.86 : x
  2. Step 2: Convert to fraction form
    492.92/680.24 = 271.86/x
  3. Step 3: Cross multiply
    492.92x = 680.24 × 271.86
  4. Step 4: Simplify right side
    492.92x = 184,930.05
  5. Step 5: Solve for x
    x = 184,930.05/492.92
  6. Step 6: Final answer
    x = 375.17

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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.