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Finding the Fourth Proportional to 631.57, 871.99 and 395.79

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Solution

The fourth proportional to 631.57, 871.99 and 395.79 is: 546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.57 : 871.99 = 395.79 : x
  2. Step 2: Convert to fraction form
    631.57/871.99 = 395.79/x
  3. Step 3: Cross multiply
    631.57x = 871.99 × 395.79
  4. Step 4: Simplify right side
    631.57x = 345,121.78
  5. Step 5: Solve for x
    x = 345,121.78/631.57
  6. Step 6: Final answer
    x = 546.45

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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.