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Finding the Fourth Proportional to 551.29, 826.21 and 413.25

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Solution

The fourth proportional to 551.29, 826.21 and 413.25 is: 619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.29 : 826.21 = 413.25 : x
  2. Step 2: Convert to fraction form
    551.29/826.21 = 413.25/x
  3. Step 3: Cross multiply
    551.29x = 826.21 × 413.25
  4. Step 4: Simplify right side
    551.29x = 341,431.28
  5. Step 5: Solve for x
    x = 341,431.28/551.29
  6. Step 6: Final answer
    x = 619.33

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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.