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Finding the Fourth Proportional to 518.58, 778.02 and 193.97

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Solution

The fourth proportional to 518.58, 778.02 and 193.97 is: 291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.58 : 778.02 = 193.97 : x
  2. Step 2: Convert to fraction form
    518.58/778.02 = 193.97/x
  3. Step 3: Cross multiply
    518.58x = 778.02 × 193.97
  4. Step 4: Simplify right side
    518.58x = 150,914.48
  5. Step 5: Solve for x
    x = 150,914.48/518.58
  6. Step 6: Final answer
    x = 291.01

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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.