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Finding the Fourth Proportional to 533.52, 799.20 and 350.64

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Solution

The fourth proportional to 533.52, 799.20 and 350.64 is: 525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 799.20 = 350.64 : x
  2. Step 2: Convert to fraction form
    533.52/799.20 = 350.64/x
  3. Step 3: Cross multiply
    533.52x = 799.20 × 350.64
  4. Step 4: Simplify right side
    533.52x = 280,231.49
  5. Step 5: Solve for x
    x = 280,231.49/533.52
  6. Step 6: Final answer
    x = 525.25

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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.