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Finding the Fourth Proportional to 533.68, 800.53 and 204.58

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Solution

The fourth proportional to 533.68, 800.53 and 204.58 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.68 : 800.53 = 204.58 : x
  2. Step 2: Convert to fraction form
    533.68/800.53 = 204.58/x
  3. Step 3: Cross multiply
    533.68x = 800.53 × 204.58
  4. Step 4: Simplify right side
    533.68x = 163,769.56
  5. Step 5: Solve for x
    x = 163,769.56/533.68
  6. Step 6: Final answer
    x = 306.87

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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.