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Finding the Fourth Proportional to 492.34, 679.42 and 271.29

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Solution

The fourth proportional to 492.34, 679.42 and 271.29 is: 374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.34 : 679.42 = 271.29 : x
  2. Step 2: Convert to fraction form
    492.34/679.42 = 271.29/x
  3. Step 3: Cross multiply
    492.34x = 679.42 × 271.29
  4. Step 4: Simplify right side
    492.34x = 184,319.85
  5. Step 5: Solve for x
    x = 184,319.85/492.34
  6. Step 6: Final answer
    x = 374.38

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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.