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Finding the Fourth Proportional to 363.92, 544.82 and 286.16

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Solution

The fourth proportional to 363.92, 544.82 and 286.16 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 544.82 = 286.16 : x
  2. Step 2: Convert to fraction form
    363.92/544.82 = 286.16/x
  3. Step 3: Cross multiply
    363.92x = 544.82 × 286.16
  4. Step 4: Simplify right side
    363.92x = 155,905.69
  5. Step 5: Solve for x
    x = 155,905.69/363.92
  6. Step 6: Final answer
    x = 428.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.