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Finding the Fourth Proportional to 631.40, 871.22 and 369.43

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Solution

The fourth proportional to 631.40, 871.22 and 369.43 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 871.22 = 369.43 : x
  2. Step 2: Convert to fraction form
    631.40/871.22 = 369.43/x
  3. Step 3: Cross multiply
    631.40x = 871.22 × 369.43
  4. Step 4: Simplify right side
    631.40x = 321,853.55
  5. Step 5: Solve for x
    x = 321,853.55/631.40
  6. Step 6: Final answer
    x = 509.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.