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Finding the Fourth Proportional to 533.49, 736.11 and 336.89

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Solution

The fourth proportional to 533.49, 736.11 and 336.89 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.49 : 736.11 = 336.89 : x
  2. Step 2: Convert to fraction form
    533.49/736.11 = 336.89/x
  3. Step 3: Cross multiply
    533.49x = 736.11 × 336.89
  4. Step 4: Simplify right side
    533.49x = 247,984.42
  5. Step 5: Solve for x
    x = 247,984.42/533.49
  6. Step 6: Final answer
    x = 464.83

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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.