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Finding the Fourth Proportional to 538.67, 806.85 and 364.39

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Solution

The fourth proportional to 538.67, 806.85 and 364.39 is: 545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 806.85 = 364.39 : x
  2. Step 2: Convert to fraction form
    538.67/806.85 = 364.39/x
  3. Step 3: Cross multiply
    538.67x = 806.85 × 364.39
  4. Step 4: Simplify right side
    538.67x = 294,006.05
  5. Step 5: Solve for x
    x = 294,006.05/538.67
  6. Step 6: Final answer
    x = 545.80

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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.