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Finding the Fourth Proportional to 415.38, 573.25 and 363.54

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Solution

The fourth proportional to 415.38, 573.25 and 363.54 is: 501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 573.25 = 363.54 : x
  2. Step 2: Convert to fraction form
    415.38/573.25 = 363.54/x
  3. Step 3: Cross multiply
    415.38x = 573.25 × 363.54
  4. Step 4: Simplify right side
    415.38x = 208,399.31
  5. Step 5: Solve for x
    x = 208,399.31/415.38
  6. Step 6: Final answer
    x = 501.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.