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Finding the Fourth Proportional to 363.45, 544.42 and 286.04

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Solution

The fourth proportional to 363.45, 544.42 and 286.04 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.45 : 544.42 = 286.04 : x
  2. Step 2: Convert to fraction form
    363.45/544.42 = 286.04/x
  3. Step 3: Cross multiply
    363.45x = 544.42 × 286.04
  4. Step 4: Simplify right side
    363.45x = 155,726.54
  5. Step 5: Solve for x
    x = 155,726.54/363.45
  6. Step 6: Final answer
    x = 428.47

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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.