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Finding the Fourth Proportional to 492.75, 680.01 and 271.68

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Solution

The fourth proportional to 492.75, 680.01 and 271.68 is: 374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 680.01 = 271.68 : x
  2. Step 2: Convert to fraction form
    492.75/680.01 = 271.68/x
  3. Step 3: Cross multiply
    492.75x = 680.01 × 271.68
  4. Step 4: Simplify right side
    492.75x = 184,745.12
  5. Step 5: Solve for x
    x = 184,745.12/492.75
  6. Step 6: Final answer
    x = 374.93

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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.