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Finding the Fourth Proportional to 518.76, 778.27 and 194.13

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Solution

The fourth proportional to 518.76, 778.27 and 194.13 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 778.27 = 194.13 : x
  2. Step 2: Convert to fraction form
    518.76/778.27 = 194.13/x
  3. Step 3: Cross multiply
    518.76x = 778.27 × 194.13
  4. Step 4: Simplify right side
    518.76x = 151,085.56
  5. Step 5: Solve for x
    x = 151,085.56/518.76
  6. Step 6: Final answer
    x = 291.24

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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.