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Finding the Fourth Proportional to 386.42, 533.24 and 220.63

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Solution

The fourth proportional to 386.42, 533.24 and 220.63 is: 304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 533.24 = 220.63 : x
  2. Step 2: Convert to fraction form
    386.42/533.24 = 220.63/x
  3. Step 3: Cross multiply
    386.42x = 533.24 × 220.63
  4. Step 4: Simplify right side
    386.42x = 117,647.96
  5. Step 5: Solve for x
    x = 117,647.96/386.42
  6. Step 6: Final answer
    x = 304.46

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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.