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Finding the Fourth Proportional to 481.07, 721.00 and 206.84

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Solution

The fourth proportional to 481.07, 721.00 and 206.84 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.07 : 721.00 = 206.84 : x
  2. Step 2: Convert to fraction form
    481.07/721.00 = 206.84/x
  3. Step 3: Cross multiply
    481.07x = 721.00 × 206.84
  4. Step 4: Simplify right side
    481.07x = 149,127.00
  5. Step 5: Solve for x
    x = 149,127.00/481.07
  6. Step 6: Final answer
    x = 309.99

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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.