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Finding the Fourth Proportional to 533.13, 735.74 and 336.61

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Solution

The fourth proportional to 533.13, 735.74 and 336.61 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.13 : 735.74 = 336.61 : x
  2. Step 2: Convert to fraction form
    533.13/735.74 = 336.61/x
  3. Step 3: Cross multiply
    533.13x = 735.74 × 336.61
  4. Step 4: Simplify right side
    533.13x = 247,657.44
  5. Step 5: Solve for x
    x = 247,657.44/533.13
  6. Step 6: Final answer
    x = 464.53

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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.