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Finding the Fourth Proportional to 535.54, 739.03 and 299.50

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Solution

The fourth proportional to 535.54, 739.03 and 299.50 is: 413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.54 : 739.03 = 299.50 : x
  2. Step 2: Convert to fraction form
    535.54/739.03 = 299.50/x
  3. Step 3: Cross multiply
    535.54x = 739.03 × 299.50
  4. Step 4: Simplify right side
    535.54x = 221,339.49
  5. Step 5: Solve for x
    x = 221,339.49/535.54
  6. Step 6: Final answer
    x = 413.30

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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.