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Finding the Fourth Proportional to 533.45, 800.33 and 259.70

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Solution

The fourth proportional to 533.45, 800.33 and 259.70 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.45 : 800.33 = 259.70 : x
  2. Step 2: Convert to fraction form
    533.45/800.33 = 259.70/x
  3. Step 3: Cross multiply
    533.45x = 800.33 × 259.70
  4. Step 4: Simplify right side
    533.45x = 207,841.70
  5. Step 5: Solve for x
    x = 207,841.70/533.45
  6. Step 6: Final answer
    x = 389.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.