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Finding the Fourth Proportional to 486.98, 730.01 and 213.23

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Solution

The fourth proportional to 486.98, 730.01 and 213.23 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 730.01 = 213.23 : x
  2. Step 2: Convert to fraction form
    486.98/730.01 = 213.23/x
  3. Step 3: Cross multiply
    486.98x = 730.01 × 213.23
  4. Step 4: Simplify right side
    486.98x = 155,662.39
  5. Step 5: Solve for x
    x = 155,662.39/486.98
  6. Step 6: Final answer
    x = 319.65

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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.