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Finding the Fourth Proportional to 486.98, 730.76 and 213.06

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Solution

The fourth proportional to 486.98, 730.76 and 213.06 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 730.76 = 213.06 : x
  2. Step 2: Convert to fraction form
    486.98/730.76 = 213.06/x
  3. Step 3: Cross multiply
    486.98x = 730.76 × 213.06
  4. Step 4: Simplify right side
    486.98x = 155,694.66
  5. Step 5: Solve for x
    x = 155,694.66/486.98
  6. Step 6: Final answer
    x = 319.72

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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.