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Finding the Fourth Proportional to 533.40, 799.95 and 204.30

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Solution

The fourth proportional to 533.40, 799.95 and 204.30 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 799.95 = 204.30 : x
  2. Step 2: Convert to fraction form
    533.40/799.95 = 204.30/x
  3. Step 3: Cross multiply
    533.40x = 799.95 × 204.30
  4. Step 4: Simplify right side
    533.40x = 163,429.79
  5. Step 5: Solve for x
    x = 163,429.79/533.40
  6. Step 6: Final answer
    x = 306.39

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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.