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Finding the Fourth Proportional to 427.12, 589.44 and 252.56

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Solution

The fourth proportional to 427.12, 589.44 and 252.56 is: 348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 589.44 = 252.56 : x
  2. Step 2: Convert to fraction form
    427.12/589.44 = 252.56/x
  3. Step 3: Cross multiply
    427.12x = 589.44 × 252.56
  4. Step 4: Simplify right side
    427.12x = 148,868.97
  5. Step 5: Solve for x
    x = 148,868.97/427.12
  6. Step 6: Final answer
    x = 348.54

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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.