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Finding the Fourth Proportional to 533.45, 800.68 and 328.42

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Solution

The fourth proportional to 533.45, 800.68 and 328.42 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.45 : 800.68 = 328.42 : x
  2. Step 2: Convert to fraction form
    533.45/800.68 = 328.42/x
  3. Step 3: Cross multiply
    533.45x = 800.68 × 328.42
  4. Step 4: Simplify right side
    533.45x = 262,957.39
  5. Step 5: Solve for x
    x = 262,957.39/533.45
  6. Step 6: Final answer
    x = 492.94

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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.