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Finding the Fourth Proportional to 313.48, 467.41 and 301.44

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Solution

The fourth proportional to 313.48, 467.41 and 301.44 is: 449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.48 : 467.41 = 301.44 : x
  2. Step 2: Convert to fraction form
    313.48/467.41 = 301.44/x
  3. Step 3: Cross multiply
    313.48x = 467.41 × 301.44
  4. Step 4: Simplify right side
    313.48x = 140,896.07
  5. Step 5: Solve for x
    x = 140,896.07/313.48
  6. Step 6: Final answer
    x = 449.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.