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Finding the Fourth Proportional to 533.56, 735.60 and 367.48

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Solution

The fourth proportional to 533.56, 735.60 and 367.48 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.56 : 735.60 = 367.48 : x
  2. Step 2: Convert to fraction form
    533.56/735.60 = 367.48/x
  3. Step 3: Cross multiply
    533.56x = 735.60 × 367.48
  4. Step 4: Simplify right side
    533.56x = 270,314.61
  5. Step 5: Solve for x
    x = 270,314.61/533.56
  6. Step 6: Final answer
    x = 506.63

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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.