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Finding the Fourth Proportional to 911.70, 1,366.99 and 363.64

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Solution

The fourth proportional to 911.70, 1,366.99 and 363.64 is: 545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.70 : 1,366.99 = 363.64 : x
  2. Step 2: Convert to fraction form
    911.70/1,366.99 = 363.64/x
  3. Step 3: Cross multiply
    911.70x = 1,366.99 × 363.64
  4. Step 4: Simplify right side
    911.70x = 497,092.24
  5. Step 5: Solve for x
    x = 497,092.24/911.70
  6. Step 6: Final answer
    x = 545.24

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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.