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Finding the Fourth Proportional to 533.22, 735.66 and 336.66

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Solution

The fourth proportional to 533.22, 735.66 and 336.66 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.22 : 735.66 = 336.66 : x
  2. Step 2: Convert to fraction form
    533.22/735.66 = 336.66/x
  3. Step 3: Cross multiply
    533.22x = 735.66 × 336.66
  4. Step 4: Simplify right side
    533.22x = 247,667.30
  5. Step 5: Solve for x
    x = 247,667.30/533.22
  6. Step 6: Final answer
    x = 464.47

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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.