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Finding the Fourth Proportional to 629.74, 941.87 and 369.12

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Solution

The fourth proportional to 629.74, 941.87 and 369.12 is: 552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.74 : 941.87 = 369.12 : x
  2. Step 2: Convert to fraction form
    629.74/941.87 = 369.12/x
  3. Step 3: Cross multiply
    629.74x = 941.87 × 369.12
  4. Step 4: Simplify right side
    629.74x = 347,663.05
  5. Step 5: Solve for x
    x = 347,663.05/629.74
  6. Step 6: Final answer
    x = 552.07

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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.