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Finding the Fourth Proportional to 629.24, 943.20 and 218.24

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Solution

The fourth proportional to 629.24, 943.20 and 218.24 is: 327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.24 : 943.20 = 218.24 : x
  2. Step 2: Convert to fraction form
    629.24/943.20 = 218.24/x
  3. Step 3: Cross multiply
    629.24x = 943.20 × 218.24
  4. Step 4: Simplify right side
    629.24x = 205,839.25
  5. Step 5: Solve for x
    x = 205,839.25/629.24
  6. Step 6: Final answer
    x = 327.13

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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.