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Finding the Fourth Proportional to 363.33, 544.23 and 285.92

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Solution

The fourth proportional to 363.33, 544.23 and 285.92 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.33 : 544.23 = 285.92 : x
  2. Step 2: Convert to fraction form
    363.33/544.23 = 285.92/x
  3. Step 3: Cross multiply
    363.33x = 544.23 × 285.92
  4. Step 4: Simplify right side
    363.33x = 155,606.17
  5. Step 5: Solve for x
    x = 155,606.17/363.33
  6. Step 6: Final answer
    x = 428.28

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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.