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Finding the Fourth Proportional to 533.31, 800.11 and 204.39

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Solution

The fourth proportional to 533.31, 800.11 and 204.39 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.31 : 800.11 = 204.39 : x
  2. Step 2: Convert to fraction form
    533.31/800.11 = 204.39/x
  3. Step 3: Cross multiply
    533.31x = 800.11 × 204.39
  4. Step 4: Simplify right side
    533.31x = 163,534.48
  5. Step 5: Solve for x
    x = 163,534.48/533.31
  6. Step 6: Final answer
    x = 306.64

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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.