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Finding the Fourth Proportional to 386.75, 533.73 and 231.59

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Solution

The fourth proportional to 386.75, 533.73 and 231.59 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 533.73 = 231.59 : x
  2. Step 2: Convert to fraction form
    386.75/533.73 = 231.59/x
  3. Step 3: Cross multiply
    386.75x = 533.73 × 231.59
  4. Step 4: Simplify right side
    386.75x = 123,606.53
  5. Step 5: Solve for x
    x = 123,606.53/386.75
  6. Step 6: Final answer
    x = 319.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.