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Finding the Fourth Proportional to 631.26, 871.16 and 369.36

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Solution

The fourth proportional to 631.26, 871.16 and 369.36 is: 509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.26 : 871.16 = 369.36 : x
  2. Step 2: Convert to fraction form
    631.26/871.16 = 369.36/x
  3. Step 3: Cross multiply
    631.26x = 871.16 × 369.36
  4. Step 4: Simplify right side
    631.26x = 321,769.81
  5. Step 5: Solve for x
    x = 321,769.81/631.26
  6. Step 6: Final answer
    x = 509.73

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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.