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Finding the Fourth Proportional to 481.94, 723.15 and 208.10

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Solution

The fourth proportional to 481.94, 723.15 and 208.10 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.94 : 723.15 = 208.10 : x
  2. Step 2: Convert to fraction form
    481.94/723.15 = 208.10/x
  3. Step 3: Cross multiply
    481.94x = 723.15 × 208.10
  4. Step 4: Simplify right side
    481.94x = 150,487.52
  5. Step 5: Solve for x
    x = 150,487.52/481.94
  6. Step 6: Final answer
    x = 312.25

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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.