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Finding the Fourth Proportional to 479.97, 720.08 and 171.85

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Solution

The fourth proportional to 479.97, 720.08 and 171.85 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.97 : 720.08 = 171.85 : x
  2. Step 2: Convert to fraction form
    479.97/720.08 = 171.85/x
  3. Step 3: Cross multiply
    479.97x = 720.08 × 171.85
  4. Step 4: Simplify right side
    479.97x = 123,745.75
  5. Step 5: Solve for x
    x = 123,745.75/479.97
  6. Step 6: Final answer
    x = 257.82

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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.