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Finding the Fourth Proportional to 533.11, 799.07 and 224.87

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Solution

The fourth proportional to 533.11, 799.07 and 224.87 is: 337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.11 : 799.07 = 224.87 : x
  2. Step 2: Convert to fraction form
    533.11/799.07 = 224.87/x
  3. Step 3: Cross multiply
    533.11x = 799.07 × 224.87
  4. Step 4: Simplify right side
    533.11x = 179,686.87
  5. Step 5: Solve for x
    x = 179,686.87/533.11
  6. Step 6: Final answer
    x = 337.05

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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.