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Finding the Fourth Proportional to 363.92, 548.86 and 357.44

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Solution

The fourth proportional to 363.92, 548.86 and 357.44 is: 539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 548.86 = 357.44 : x
  2. Step 2: Convert to fraction form
    363.92/548.86 = 357.44/x
  3. Step 3: Cross multiply
    363.92x = 548.86 × 357.44
  4. Step 4: Simplify right side
    363.92x = 196,182.73
  5. Step 5: Solve for x
    x = 196,182.73/363.92
  6. Step 6: Final answer
    x = 539.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.