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Finding the Fourth Proportional to 518.06, 779.06 and 414.19

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Solution

The fourth proportional to 518.06, 779.06 and 414.19 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.06 : 779.06 = 414.19 : x
  2. Step 2: Convert to fraction form
    518.06/779.06 = 414.19/x
  3. Step 3: Cross multiply
    518.06x = 779.06 × 414.19
  4. Step 4: Simplify right side
    518.06x = 322,678.86
  5. Step 5: Solve for x
    x = 322,678.86/518.06
  6. Step 6: Final answer
    x = 622.86

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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.