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Finding the Fourth Proportional to 518.51, 778.14 and 323.79

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Solution

The fourth proportional to 518.51, 778.14 and 323.79 is: 485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 778.14 = 323.79 : x
  2. Step 2: Convert to fraction form
    518.51/778.14 = 323.79/x
  3. Step 3: Cross multiply
    518.51x = 778.14 × 323.79
  4. Step 4: Simplify right side
    518.51x = 251,952.33
  5. Step 5: Solve for x
    x = 251,952.33/518.51
  6. Step 6: Final answer
    x = 485.92

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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.