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Finding the Fourth Proportional to 533.36, 799 and 350.20

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Solution

The fourth proportional to 533.36, 799 and 350.20 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.36 : 799 = 350.20 : x
  2. Step 2: Convert to fraction form
    533.36/799 = 350.20/x
  3. Step 3: Cross multiply
    533.36x = 799 × 350.20
  4. Step 4: Simplify right side
    533.36x = 279,809.80
  5. Step 5: Solve for x
    x = 279,809.80/533.36
  6. Step 6: Final answer
    x = 524.62

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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.