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Finding the Fourth Proportional to 492.72, 679.97 and 271.70

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Solution

The fourth proportional to 492.72, 679.97 and 271.70 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 679.97 = 271.70 : x
  2. Step 2: Convert to fraction form
    492.72/679.97 = 271.70/x
  3. Step 3: Cross multiply
    492.72x = 679.97 × 271.70
  4. Step 4: Simplify right side
    492.72x = 184,745.13
  5. Step 5: Solve for x
    x = 184,745.13/492.72
  6. Step 6: Final answer
    x = 374.95

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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.