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Finding the Fourth Proportional to 518.74, 778.08 and 189.90

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Solution

The fourth proportional to 518.74, 778.08 and 189.90 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.74 : 778.08 = 189.90 : x
  2. Step 2: Convert to fraction form
    518.74/778.08 = 189.90/x
  3. Step 3: Cross multiply
    518.74x = 778.08 × 189.90
  4. Step 4: Simplify right side
    518.74x = 147,757.39
  5. Step 5: Solve for x
    x = 147,757.39/518.74
  6. Step 6: Final answer
    x = 284.84

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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.