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Finding the Fourth Proportional to 533.31, 799.93 and 329.14

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Solution

The fourth proportional to 533.31, 799.93 and 329.14 is: 493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.31 : 799.93 = 329.14 : x
  2. Step 2: Convert to fraction form
    533.31/799.93 = 329.14/x
  3. Step 3: Cross multiply
    533.31x = 799.93 × 329.14
  4. Step 4: Simplify right side
    533.31x = 263,288.96
  5. Step 5: Solve for x
    x = 263,288.96/533.31
  6. Step 6: Final answer
    x = 493.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.