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Finding the Fourth Proportional to 518.69, 778.17 and 194.06

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Solution

The fourth proportional to 518.69, 778.17 and 194.06 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.69 : 778.17 = 194.06 : x
  2. Step 2: Convert to fraction form
    518.69/778.17 = 194.06/x
  3. Step 3: Cross multiply
    518.69x = 778.17 × 194.06
  4. Step 4: Simplify right side
    518.69x = 151,011.67
  5. Step 5: Solve for x
    x = 151,011.67/518.69
  6. Step 6: Final answer
    x = 291.14

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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.