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Finding the Fourth Proportional to 492.46, 679.56 and 271.42

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Solution

The fourth proportional to 492.46, 679.56 and 271.42 is: 374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.46 : 679.56 = 271.42 : x
  2. Step 2: Convert to fraction form
    492.46/679.56 = 271.42/x
  3. Step 3: Cross multiply
    492.46x = 679.56 × 271.42
  4. Step 4: Simplify right side
    492.46x = 184,446.18
  5. Step 5: Solve for x
    x = 184,446.18/492.46
  6. Step 6: Final answer
    x = 374.54

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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.