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Finding the Fourth Proportional to 801.69, 1,201.61 and 363.27

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Solution

The fourth proportional to 801.69, 1,201.61 and 363.27 is: 544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.69 : 1,201.61 = 363.27 : x
  2. Step 2: Convert to fraction form
    801.69/1,201.61 = 363.27/x
  3. Step 3: Cross multiply
    801.69x = 1,201.61 × 363.27
  4. Step 4: Simplify right side
    801.69x = 436,508.86
  5. Step 5: Solve for x
    x = 436,508.86/801.69
  6. Step 6: Final answer
    x = 544.49

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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.