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Finding the Fourth Proportional to 533.60, 799.98 and 328.20

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Solution

The fourth proportional to 533.60, 799.98 and 328.20 is: 492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.60 : 799.98 = 328.20 : x
  2. Step 2: Convert to fraction form
    533.60/799.98 = 328.20/x
  3. Step 3: Cross multiply
    533.60x = 799.98 × 328.20
  4. Step 4: Simplify right side
    533.60x = 262,553.44
  5. Step 5: Solve for x
    x = 262,553.44/533.60
  6. Step 6: Final answer
    x = 492.04

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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.