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Finding the Fourth Proportional to 386.29, 533.06 and 220.48

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Solution

The fourth proportional to 386.29, 533.06 and 220.48 is: 304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.29 : 533.06 = 220.48 : x
  2. Step 2: Convert to fraction form
    386.29/533.06 = 220.48/x
  3. Step 3: Cross multiply
    386.29x = 533.06 × 220.48
  4. Step 4: Simplify right side
    386.29x = 117,527.46
  5. Step 5: Solve for x
    x = 117,527.46/386.29
  6. Step 6: Final answer
    x = 304.25

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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.