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Finding the Fourth Proportional to 492.70, 679.94 and 271.66

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Solution

The fourth proportional to 492.70, 679.94 and 271.66 is: 374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 679.94 = 271.66 : x
  2. Step 2: Convert to fraction form
    492.70/679.94 = 271.66/x
  3. Step 3: Cross multiply
    492.70x = 679.94 × 271.66
  4. Step 4: Simplify right side
    492.70x = 184,712.50
  5. Step 5: Solve for x
    x = 184,712.50/492.70
  6. Step 6: Final answer
    x = 374.90

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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.