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Finding the Fourth Proportional to 481.93, 723 and 208.04

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Solution

The fourth proportional to 481.93, 723 and 208.04 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.93 : 723 = 208.04 : x
  2. Step 2: Convert to fraction form
    481.93/723 = 208.04/x
  3. Step 3: Cross multiply
    481.93x = 723 × 208.04
  4. Step 4: Simplify right side
    481.93x = 150,412.92
  5. Step 5: Solve for x
    x = 150,412.92/481.93
  6. Step 6: Final answer
    x = 312.11

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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.