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Finding the Fourth Proportional to 463.44, 694.36 and 309.28

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Solution

The fourth proportional to 463.44, 694.36 and 309.28 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.44 : 694.36 = 309.28 : x
  2. Step 2: Convert to fraction form
    463.44/694.36 = 309.28/x
  3. Step 3: Cross multiply
    463.44x = 694.36 × 309.28
  4. Step 4: Simplify right side
    463.44x = 214,751.66
  5. Step 5: Solve for x
    x = 214,751.66/463.44
  6. Step 6: Final answer
    x = 463.39

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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.