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Finding the Fourth Proportional to 533.26, 799.98 and 403.44

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Solution

The fourth proportional to 533.26, 799.98 and 403.44 is: 605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 799.98 = 403.44 : x
  2. Step 2: Convert to fraction form
    533.26/799.98 = 403.44/x
  3. Step 3: Cross multiply
    533.26x = 799.98 × 403.44
  4. Step 4: Simplify right side
    533.26x = 322,743.93
  5. Step 5: Solve for x
    x = 322,743.93/533.26
  6. Step 6: Final answer
    x = 605.23

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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.