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Finding the Fourth Proportional to 515.85, 773.21 and 413.33

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Solution

The fourth proportional to 515.85, 773.21 and 413.33 is: 619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.85 : 773.21 = 413.33 : x
  2. Step 2: Convert to fraction form
    515.85/773.21 = 413.33/x
  3. Step 3: Cross multiply
    515.85x = 773.21 × 413.33
  4. Step 4: Simplify right side
    515.85x = 319,584.96
  5. Step 5: Solve for x
    x = 319,584.96/515.85
  6. Step 6: Final answer
    x = 619.53

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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.