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Finding the Fourth Proportional to 493.01, 680.38 and 271.96

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Solution

The fourth proportional to 493.01, 680.38 and 271.96 is: 375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 680.38 = 271.96 : x
  2. Step 2: Convert to fraction form
    493.01/680.38 = 271.96/x
  3. Step 3: Cross multiply
    493.01x = 680.38 × 271.96
  4. Step 4: Simplify right side
    493.01x = 185,036.14
  5. Step 5: Solve for x
    x = 185,036.14/493.01
  6. Step 6: Final answer
    x = 375.32

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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.