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Finding the Fourth Proportional to 427.31, 589.56 and 261.44

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Solution

The fourth proportional to 427.31, 589.56 and 261.44 is: 360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 589.56 = 261.44 : x
  2. Step 2: Convert to fraction form
    427.31/589.56 = 261.44/x
  3. Step 3: Cross multiply
    427.31x = 589.56 × 261.44
  4. Step 4: Simplify right side
    427.31x = 154,135.06
  5. Step 5: Solve for x
    x = 154,135.06/427.31
  6. Step 6: Final answer
    x = 360.71

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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.