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Finding the Fourth Proportional to 533.12, 799.36 and 191.20

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Solution

The fourth proportional to 533.12, 799.36 and 191.20 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 799.36 = 191.20 : x
  2. Step 2: Convert to fraction form
    533.12/799.36 = 191.20/x
  3. Step 3: Cross multiply
    533.12x = 799.36 × 191.20
  4. Step 4: Simplify right side
    533.12x = 152,837.63
  5. Step 5: Solve for x
    x = 152,837.63/533.12
  6. Step 6: Final answer
    x = 286.69

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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.