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Finding the Fourth Proportional to 535.86, 739.44 and 299.79

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Solution

The fourth proportional to 535.86, 739.44 and 299.79 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 739.44 = 299.79 : x
  2. Step 2: Convert to fraction form
    535.86/739.44 = 299.79/x
  3. Step 3: Cross multiply
    535.86x = 739.44 × 299.79
  4. Step 4: Simplify right side
    535.86x = 221,676.72
  5. Step 5: Solve for x
    x = 221,676.72/535.86
  6. Step 6: Final answer
    x = 413.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.