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Finding the Fourth Proportional to 829.81, 1,244.37 and 309.73

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Solution

The fourth proportional to 829.81, 1,244.37 and 309.73 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.81 : 1,244.37 = 309.73 : x
  2. Step 2: Convert to fraction form
    829.81/1,244.37 = 309.73/x
  3. Step 3: Cross multiply
    829.81x = 1,244.37 × 309.73
  4. Step 4: Simplify right side
    829.81x = 385,418.72
  5. Step 5: Solve for x
    x = 385,418.72/829.81
  6. Step 6: Final answer
    x = 464.47

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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.