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Finding the Fourth Proportional to 533.63, 800.68 and 259.73

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Solution

The fourth proportional to 533.63, 800.68 and 259.73 is: 389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.63 : 800.68 = 259.73 : x
  2. Step 2: Convert to fraction form
    533.63/800.68 = 259.73/x
  3. Step 3: Cross multiply
    533.63x = 800.68 × 259.73
  4. Step 4: Simplify right side
    533.63x = 207,960.62
  5. Step 5: Solve for x
    x = 207,960.62/533.63
  6. Step 6: Final answer
    x = 389.71

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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.