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Finding the Fourth Proportional to 533.55, 799.29 and 338.13

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Solution

The fourth proportional to 533.55, 799.29 and 338.13 is: 506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.55 : 799.29 = 338.13 : x
  2. Step 2: Convert to fraction form
    533.55/799.29 = 338.13/x
  3. Step 3: Cross multiply
    533.55x = 799.29 × 338.13
  4. Step 4: Simplify right side
    533.55x = 270,263.93
  5. Step 5: Solve for x
    x = 270,263.93/533.55
  6. Step 6: Final answer
    x = 506.54

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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.