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Finding the Fourth Proportional to 386.56, 533.52 and 231.40

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Solution

The fourth proportional to 386.56, 533.52 and 231.40 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 533.52 = 231.40 : x
  2. Step 2: Convert to fraction form
    386.56/533.52 = 231.40/x
  3. Step 3: Cross multiply
    386.56x = 533.52 × 231.40
  4. Step 4: Simplify right side
    386.56x = 123,456.53
  5. Step 5: Solve for x
    x = 123,456.53/386.56
  6. Step 6: Final answer
    x = 319.37

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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.