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Finding the Fourth Proportional to 386.42, 533.23 and 231.14

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Solution

The fourth proportional to 386.42, 533.23 and 231.14 is: 318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 533.23 = 231.14 : x
  2. Step 2: Convert to fraction form
    386.42/533.23 = 231.14/x
  3. Step 3: Cross multiply
    386.42x = 533.23 × 231.14
  4. Step 4: Simplify right side
    386.42x = 123,250.78
  5. Step 5: Solve for x
    x = 123,250.78/386.42
  6. Step 6: Final answer
    x = 318.96

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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.