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Finding the Fourth Proportional to 386.88, 533.92 and 231.60

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Solution

The fourth proportional to 386.88, 533.92 and 231.60 is: 319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 533.92 = 231.60 : x
  2. Step 2: Convert to fraction form
    386.88/533.92 = 231.60/x
  3. Step 3: Cross multiply
    386.88x = 533.92 × 231.60
  4. Step 4: Simplify right side
    386.88x = 123,655.87
  5. Step 5: Solve for x
    x = 123,655.87/386.88
  6. Step 6: Final answer
    x = 319.62

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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.