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Finding the Fourth Proportional to 492.82, 680.10 and 271.79

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Solution

The fourth proportional to 492.82, 680.10 and 271.79 is: 375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 680.10 = 271.79 : x
  2. Step 2: Convert to fraction form
    492.82/680.10 = 271.79/x
  3. Step 3: Cross multiply
    492.82x = 680.10 × 271.79
  4. Step 4: Simplify right side
    492.82x = 184,842.51
  5. Step 5: Solve for x
    x = 184,842.51/492.82
  6. Step 6: Final answer
    x = 375.07

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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.