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Finding the Fourth Proportional to 427.39, 589.50 and 252.73

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Solution

The fourth proportional to 427.39, 589.50 and 252.73 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.39 : 589.50 = 252.73 : x
  2. Step 2: Convert to fraction form
    427.39/589.50 = 252.73/x
  3. Step 3: Cross multiply
    427.39x = 589.50 × 252.73
  4. Step 4: Simplify right side
    427.39x = 148,984.34
  5. Step 5: Solve for x
    x = 148,984.34/427.39
  6. Step 6: Final answer
    x = 348.59

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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.