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Finding the Fourth Proportional to 829.45, 1,244.37 and 309.51

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Solution

The fourth proportional to 829.45, 1,244.37 and 309.51 is: 464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.45 : 1,244.37 = 309.51 : x
  2. Step 2: Convert to fraction form
    829.45/1,244.37 = 309.51/x
  3. Step 3: Cross multiply
    829.45x = 1,244.37 × 309.51
  4. Step 4: Simplify right side
    829.45x = 385,144.96
  5. Step 5: Solve for x
    x = 385,144.96/829.45
  6. Step 6: Final answer
    x = 464.34

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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.