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Finding the Fourth Proportional to 629.51, 944.34 and 213.02

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Solution

The fourth proportional to 629.51, 944.34 and 213.02 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.51 : 944.34 = 213.02 : x
  2. Step 2: Convert to fraction form
    629.51/944.34 = 213.02/x
  3. Step 3: Cross multiply
    629.51x = 944.34 × 213.02
  4. Step 4: Simplify right side
    629.51x = 201,163.31
  5. Step 5: Solve for x
    x = 201,163.31/629.51
  6. Step 6: Final answer
    x = 319.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.