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Finding the Fourth Proportional to 519.41, 778.12 and 388.74

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Solution

The fourth proportional to 519.41, 778.12 and 388.74 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.41 : 778.12 = 388.74 : x
  2. Step 2: Convert to fraction form
    519.41/778.12 = 388.74/x
  3. Step 3: Cross multiply
    519.41x = 778.12 × 388.74
  4. Step 4: Simplify right side
    519.41x = 302,485.40
  5. Step 5: Solve for x
    x = 302,485.40/519.41
  6. Step 6: Final answer
    x = 582.37

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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.