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Finding the Fourth Proportional to 492.39, 679.50 and 271.33

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Solution

The fourth proportional to 492.39, 679.50 and 271.33 is: 374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 679.50 = 271.33 : x
  2. Step 2: Convert to fraction form
    492.39/679.50 = 271.33/x
  3. Step 3: Cross multiply
    492.39x = 679.50 × 271.33
  4. Step 4: Simplify right side
    492.39x = 184,369.84
  5. Step 5: Solve for x
    x = 184,369.84/492.39
  6. Step 6: Final answer
    x = 374.44

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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.