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Finding the Fourth Proportional to 386.47, 533.24 and 231.31

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Solution

The fourth proportional to 386.47, 533.24 and 231.31 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.47 : 533.24 = 231.31 : x
  2. Step 2: Convert to fraction form
    386.47/533.24 = 231.31/x
  3. Step 3: Cross multiply
    386.47x = 533.24 × 231.31
  4. Step 4: Simplify right side
    386.47x = 123,341.08
  5. Step 5: Solve for x
    x = 123,341.08/386.47
  6. Step 6: Final answer
    x = 319.15

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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.