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Finding the Fourth Proportional to 911.52, 1,367.94 and 363.86

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Solution

The fourth proportional to 911.52, 1,367.94 and 363.86 is: 546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.52 : 1,367.94 = 363.86 : x
  2. Step 2: Convert to fraction form
    911.52/1,367.94 = 363.86/x
  3. Step 3: Cross multiply
    911.52x = 1,367.94 × 363.86
  4. Step 4: Simplify right side
    911.52x = 497,730.44
  5. Step 5: Solve for x
    x = 497,730.44/911.52
  6. Step 6: Final answer
    x = 546.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.