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Finding the Fourth Proportional to 533.88, 800.34 and 259.80

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Solution

The fourth proportional to 533.88, 800.34 and 259.80 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 800.34 = 259.80 : x
  2. Step 2: Convert to fraction form
    533.88/800.34 = 259.80/x
  3. Step 3: Cross multiply
    533.88x = 800.34 × 259.80
  4. Step 4: Simplify right side
    533.88x = 207,928.33
  5. Step 5: Solve for x
    x = 207,928.33/533.88
  6. Step 6: Final answer
    x = 389.47

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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.