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Finding the Fourth Proportional to 631.27, 871.14 and 369.28

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Solution

The fourth proportional to 631.27, 871.14 and 369.28 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.27 : 871.14 = 369.28 : x
  2. Step 2: Convert to fraction form
    631.27/871.14 = 369.28/x
  3. Step 3: Cross multiply
    631.27x = 871.14 × 369.28
  4. Step 4: Simplify right side
    631.27x = 321,697.05
  5. Step 5: Solve for x
    x = 321,697.05/631.27
  6. Step 6: Final answer
    x = 509.60

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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.