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Finding the Fourth Proportional to 569.73, 853.20 and 363.99

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Solution

The fourth proportional to 569.73, 853.20 and 363.99 is: 545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.73 : 853.20 = 363.99 : x
  2. Step 2: Convert to fraction form
    569.73/853.20 = 363.99/x
  3. Step 3: Cross multiply
    569.73x = 853.20 × 363.99
  4. Step 4: Simplify right side
    569.73x = 310,556.27
  5. Step 5: Solve for x
    x = 310,556.27/569.73
  6. Step 6: Final answer
    x = 545.09

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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.