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Finding the Fourth Proportional to 533.13, 799.12 and 258.61

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Solution

The fourth proportional to 533.13, 799.12 and 258.61 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.13 : 799.12 = 258.61 : x
  2. Step 2: Convert to fraction form
    533.13/799.12 = 258.61/x
  3. Step 3: Cross multiply
    533.13x = 799.12 × 258.61
  4. Step 4: Simplify right side
    533.13x = 206,660.42
  5. Step 5: Solve for x
    x = 206,660.42/533.13
  6. Step 6: Final answer
    x = 387.64

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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.