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Finding the Fourth Proportional to 309.21, 463.37 and 244.37

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Solution

The fourth proportional to 309.21, 463.37 and 244.37 is: 366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 463.37 = 244.37 : x
  2. Step 2: Convert to fraction form
    309.21/463.37 = 244.37/x
  3. Step 3: Cross multiply
    309.21x = 463.37 × 244.37
  4. Step 4: Simplify right side
    309.21x = 113,230.19
  5. Step 5: Solve for x
    x = 113,230.19/309.21
  6. Step 6: Final answer
    x = 366.19

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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.