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Finding the Fourth Proportional to 386.83, 533.89 and 221.05

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Solution

The fourth proportional to 386.83, 533.89 and 221.05 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.83 : 533.89 = 221.05 : x
  2. Step 2: Convert to fraction form
    386.83/533.89 = 221.05/x
  3. Step 3: Cross multiply
    386.83x = 533.89 × 221.05
  4. Step 4: Simplify right side
    386.83x = 118,016.38
  5. Step 5: Solve for x
    x = 118,016.38/386.83
  6. Step 6: Final answer
    x = 305.09

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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.