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Finding the Fourth Proportional to 492.26, 679.25 and 271.22

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Solution

The fourth proportional to 492.26, 679.25 and 271.22 is: 374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 679.25 = 271.22 : x
  2. Step 2: Convert to fraction form
    492.26/679.25 = 271.22/x
  3. Step 3: Cross multiply
    492.26x = 679.25 × 271.22
  4. Step 4: Simplify right side
    492.26x = 184,221.43
  5. Step 5: Solve for x
    x = 184,221.43/492.26
  6. Step 6: Final answer
    x = 374.24

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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.