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Finding the Fourth Proportional to 533.78, 800.67 and 376.94

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Solution

The fourth proportional to 533.78, 800.67 and 376.94 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.78 : 800.67 = 376.94 : x
  2. Step 2: Convert to fraction form
    533.78/800.67 = 376.94/x
  3. Step 3: Cross multiply
    533.78x = 800.67 × 376.94
  4. Step 4: Simplify right side
    533.78x = 301,804.55
  5. Step 5: Solve for x
    x = 301,804.55/533.78
  6. Step 6: Final answer
    x = 565.41

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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.