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Finding the Fourth Proportional to 518.52, 777.84 and 171.80

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Solution

The fourth proportional to 518.52, 777.84 and 171.80 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.52 : 777.84 = 171.80 : x
  2. Step 2: Convert to fraction form
    518.52/777.84 = 171.80/x
  3. Step 3: Cross multiply
    518.52x = 777.84 × 171.80
  4. Step 4: Simplify right side
    518.52x = 133,629.02
  5. Step 5: Solve for x
    x = 133,629.02/518.52
  6. Step 6: Final answer
    x = 257.71

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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.