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Finding the Fourth Proportional to 386.33, 533.18 and 220.59

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Solution

The fourth proportional to 386.33, 533.18 and 220.59 is: 304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 533.18 = 220.59 : x
  2. Step 2: Convert to fraction form
    386.33/533.18 = 220.59/x
  3. Step 3: Cross multiply
    386.33x = 533.18 × 220.59
  4. Step 4: Simplify right side
    386.33x = 117,613.07
  5. Step 5: Solve for x
    x = 117,613.07/386.33
  6. Step 6: Final answer
    x = 304.44

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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.