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Finding the Fourth Proportional to 386.52, 533.39 and 239.24

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Solution

The fourth proportional to 386.52, 533.39 and 239.24 is: 330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 533.39 = 239.24 : x
  2. Step 2: Convert to fraction form
    386.52/533.39 = 239.24/x
  3. Step 3: Cross multiply
    386.52x = 533.39 × 239.24
  4. Step 4: Simplify right side
    386.52x = 127,605.56
  5. Step 5: Solve for x
    x = 127,605.56/386.52
  6. Step 6: Final answer
    x = 330.14

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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.