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Finding the Fourth Proportional to 492.60, 679.78 and 271.55

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Solution

The fourth proportional to 492.60, 679.78 and 271.55 is: 374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.60 : 679.78 = 271.55 : x
  2. Step 2: Convert to fraction form
    492.60/679.78 = 271.55/x
  3. Step 3: Cross multiply
    492.60x = 679.78 × 271.55
  4. Step 4: Simplify right side
    492.60x = 184,594.26
  5. Step 5: Solve for x
    x = 184,594.26/492.60
  6. Step 6: Final answer
    x = 374.73

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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.