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Finding the Fourth Proportional to 631.73, 871.53 and 382.97

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Solution

The fourth proportional to 631.73, 871.53 and 382.97 is: 528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.73 : 871.53 = 382.97 : x
  2. Step 2: Convert to fraction form
    631.73/871.53 = 382.97/x
  3. Step 3: Cross multiply
    631.73x = 871.53 × 382.97
  4. Step 4: Simplify right side
    631.73x = 333,765.49
  5. Step 5: Solve for x
    x = 333,765.49/631.73
  6. Step 6: Final answer
    x = 528.34

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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.