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Finding the Fourth Proportional to 533.09, 735.77 and 326.21

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Solution

The fourth proportional to 533.09, 735.77 and 326.21 is: 450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.09 : 735.77 = 326.21 : x
  2. Step 2: Convert to fraction form
    533.09/735.77 = 326.21/x
  3. Step 3: Cross multiply
    533.09x = 735.77 × 326.21
  4. Step 4: Simplify right side
    533.09x = 240,012.67
  5. Step 5: Solve for x
    x = 240,012.67/533.09
  6. Step 6: Final answer
    x = 450.23

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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.