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Finding the Fourth Proportional to 533.82, 736.83 and 337.47

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Solution

The fourth proportional to 533.82, 736.83 and 337.47 is: 465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 736.83 = 337.47 : x
  2. Step 2: Convert to fraction form
    533.82/736.83 = 337.47/x
  3. Step 3: Cross multiply
    533.82x = 736.83 × 337.47
  4. Step 4: Simplify right side
    533.82x = 248,654.34
  5. Step 5: Solve for x
    x = 248,654.34/533.82
  6. Step 6: Final answer
    x = 465.80

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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.