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Finding the Fourth Proportional to 486.96, 730.17 and 243.33

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Solution

The fourth proportional to 486.96, 730.17 and 243.33 is: 364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.96 : 730.17 = 243.33 : x
  2. Step 2: Convert to fraction form
    486.96/730.17 = 243.33/x
  3. Step 3: Cross multiply
    486.96x = 730.17 × 243.33
  4. Step 4: Simplify right side
    486.96x = 177,672.27
  5. Step 5: Solve for x
    x = 177,672.27/486.96
  6. Step 6: Final answer
    x = 364.86

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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.