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Finding the Fourth Proportional to 519.69, 778.46 and 403.73

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Solution

The fourth proportional to 519.69, 778.46 and 403.73 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 778.46 = 403.73 : x
  2. Step 2: Convert to fraction form
    519.69/778.46 = 403.73/x
  3. Step 3: Cross multiply
    519.69x = 778.46 × 403.73
  4. Step 4: Simplify right side
    519.69x = 314,281.74
  5. Step 5: Solve for x
    x = 314,281.74/519.69
  6. Step 6: Final answer
    x = 604.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.