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Finding the Fourth Proportional to 631.46, 871.34 and 369.42

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Solution

The fourth proportional to 631.46, 871.34 and 369.42 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.46 : 871.34 = 369.42 : x
  2. Step 2: Convert to fraction form
    631.46/871.34 = 369.42/x
  3. Step 3: Cross multiply
    631.46x = 871.34 × 369.42
  4. Step 4: Simplify right side
    631.46x = 321,890.42
  5. Step 5: Solve for x
    x = 321,890.42/631.46
  6. Step 6: Final answer
    x = 509.76

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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.