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Finding the Fourth Proportional to 363.15, 544.25 and 282.05

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Solution

The fourth proportional to 363.15, 544.25 and 282.05 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.15 : 544.25 = 282.05 : x
  2. Step 2: Convert to fraction form
    363.15/544.25 = 282.05/x
  3. Step 3: Cross multiply
    363.15x = 544.25 × 282.05
  4. Step 4: Simplify right side
    363.15x = 153,505.74
  5. Step 5: Solve for x
    x = 153,505.74/363.15
  6. Step 6: Final answer
    x = 422.71

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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.