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Finding the Fourth Proportional to 533.52, 799.26 and 328.16

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Solution

The fourth proportional to 533.52, 799.26 and 328.16 is: 491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 799.26 = 328.16 : x
  2. Step 2: Convert to fraction form
    533.52/799.26 = 328.16/x
  3. Step 3: Cross multiply
    533.52x = 799.26 × 328.16
  4. Step 4: Simplify right side
    533.52x = 262,285.16
  5. Step 5: Solve for x
    x = 262,285.16/533.52
  6. Step 6: Final answer
    x = 491.61

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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.