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Finding the Fourth Proportional to 386.96, 533.94 and 231.71

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Solution

The fourth proportional to 386.96, 533.94 and 231.71 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 533.94 = 231.71 : x
  2. Step 2: Convert to fraction form
    386.96/533.94 = 231.71/x
  3. Step 3: Cross multiply
    386.96x = 533.94 × 231.71
  4. Step 4: Simplify right side
    386.96x = 123,719.24
  5. Step 5: Solve for x
    x = 123,719.24/386.96
  6. Step 6: Final answer
    x = 319.72

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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.