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Finding the Fourth Proportional to 533.25, 799.14 and 289.89

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Solution

The fourth proportional to 533.25, 799.14 and 289.89 is: 434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 799.14 = 289.89 : x
  2. Step 2: Convert to fraction form
    533.25/799.14 = 289.89/x
  3. Step 3: Cross multiply
    533.25x = 799.14 × 289.89
  4. Step 4: Simplify right side
    533.25x = 231,662.69
  5. Step 5: Solve for x
    x = 231,662.69/533.25
  6. Step 6: Final answer
    x = 434.44

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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.