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Finding the Fourth Proportional to 533.33, 799.92 and 225.02

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Solution

The fourth proportional to 533.33, 799.92 and 225.02 is: 337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.33 : 799.92 = 225.02 : x
  2. Step 2: Convert to fraction form
    533.33/799.92 = 225.02/x
  3. Step 3: Cross multiply
    533.33x = 799.92 × 225.02
  4. Step 4: Simplify right side
    533.33x = 180,000.00
  5. Step 5: Solve for x
    x = 180,000.00/533.33
  6. Step 6: Final answer
    x = 337.51

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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.