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Finding the Fourth Proportional to 533.08, 735.26 and 367.32

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Solution

The fourth proportional to 533.08, 735.26 and 367.32 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 735.26 = 367.32 : x
  2. Step 2: Convert to fraction form
    533.08/735.26 = 367.32/x
  3. Step 3: Cross multiply
    533.08x = 735.26 × 367.32
  4. Step 4: Simplify right side
    533.08x = 270,075.70
  5. Step 5: Solve for x
    x = 270,075.70/533.08
  6. Step 6: Final answer
    x = 506.63

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