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Finding the Fourth Proportional to 486.22, 730.41 and 293.98

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Solution

The fourth proportional to 486.22, 730.41 and 293.98 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.22 : 730.41 = 293.98 : x
  2. Step 2: Convert to fraction form
    486.22/730.41 = 293.98/x
  3. Step 3: Cross multiply
    486.22x = 730.41 × 293.98
  4. Step 4: Simplify right side
    486.22x = 214,725.93
  5. Step 5: Solve for x
    x = 214,725.93/486.22
  6. Step 6: Final answer
    x = 441.62

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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.