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Finding the Fourth Proportional to 533.97, 736.87 and 301.09

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Solution

The fourth proportional to 533.97, 736.87 and 301.09 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 736.87 = 301.09 : x
  2. Step 2: Convert to fraction form
    533.97/736.87 = 301.09/x
  3. Step 3: Cross multiply
    533.97x = 736.87 × 301.09
  4. Step 4: Simplify right side
    533.97x = 221,864.19
  5. Step 5: Solve for x
    x = 221,864.19/533.97
  6. Step 6: Final answer
    x = 415.50

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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.