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Finding the Fourth Proportional to 533.50, 736.21 and 422.80

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Solution

The fourth proportional to 533.50, 736.21 and 422.80 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 736.21 = 422.80 : x
  2. Step 2: Convert to fraction form
    533.50/736.21 = 422.80/x
  3. Step 3: Cross multiply
    533.50x = 736.21 × 422.80
  4. Step 4: Simplify right side
    533.50x = 311,269.59
  5. Step 5: Solve for x
    x = 311,269.59/533.50
  6. Step 6: Final answer
    x = 583.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.