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Finding the Fourth Proportional to 492.84, 680.14 and 271.78

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Solution

The fourth proportional to 492.84, 680.14 and 271.78 is: 375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 680.14 = 271.78 : x
  2. Step 2: Convert to fraction form
    492.84/680.14 = 271.78/x
  3. Step 3: Cross multiply
    492.84x = 680.14 × 271.78
  4. Step 4: Simplify right side
    492.84x = 184,845.05
  5. Step 5: Solve for x
    x = 184,845.05/492.84
  6. Step 6: Final answer
    x = 375.06

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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.