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Finding the Fourth Proportional to 479.94, 720.04 and 171.83

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Solution

The fourth proportional to 479.94, 720.04 and 171.83 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 720.04 = 171.83 : x
  2. Step 2: Convert to fraction form
    479.94/720.04 = 171.83/x
  3. Step 3: Cross multiply
    479.94x = 720.04 × 171.83
  4. Step 4: Simplify right side
    479.94x = 123,720.44
  5. Step 5: Solve for x
    x = 123,720.44/479.94
  6. Step 6: Final answer
    x = 257.78

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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.