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Finding the Fourth Proportional to 631.42, 871.41 and 365.96

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Solution

The fourth proportional to 631.42, 871.41 and 365.96 is: 505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 871.41 = 365.96 : x
  2. Step 2: Convert to fraction form
    631.42/871.41 = 365.96/x
  3. Step 3: Cross multiply
    631.42x = 871.41 × 365.96
  4. Step 4: Simplify right side
    631.42x = 318,896.85
  5. Step 5: Solve for x
    x = 318,896.85/631.42
  6. Step 6: Final answer
    x = 505.05

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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.