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Finding the Fourth Proportional to 533.39, 799.32 and 259.17

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Solution

The fourth proportional to 533.39, 799.32 and 259.17 is: 388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.39 : 799.32 = 259.17 : x
  2. Step 2: Convert to fraction form
    533.39/799.32 = 259.17/x
  3. Step 3: Cross multiply
    533.39x = 799.32 × 259.17
  4. Step 4: Simplify right side
    533.39x = 207,163.03
  5. Step 5: Solve for x
    x = 207,163.03/533.39
  6. Step 6: Final answer
    x = 388.39

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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.