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Finding the Fourth Proportional to 386.82, 533.84 and 221.00

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Solution

The fourth proportional to 386.82, 533.84 and 221.00 is: 304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 533.84 = 221.00 : x
  2. Step 2: Convert to fraction form
    386.82/533.84 = 221.00/x
  3. Step 3: Cross multiply
    386.82x = 533.84 × 221.00
  4. Step 4: Simplify right side
    386.82x = 117,974.87
  5. Step 5: Solve for x
    x = 117,974.87/386.82
  6. Step 6: Final answer
    x = 304.99

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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.