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Finding the Fourth Proportional to 492.94, 680.20 and 271.88

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Solution

The fourth proportional to 492.94, 680.20 and 271.88 is: 375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.94 : 680.20 = 271.88 : x
  2. Step 2: Convert to fraction form
    492.94/680.20 = 271.88/x
  3. Step 3: Cross multiply
    492.94x = 680.20 × 271.88
  4. Step 4: Simplify right side
    492.94x = 184,932.78
  5. Step 5: Solve for x
    x = 184,932.78/492.94
  6. Step 6: Final answer
    x = 375.16

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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.