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Finding the Fourth Proportional to 319.33, 441.03 and 301.11

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Solution

The fourth proportional to 319.33, 441.03 and 301.11 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.33 : 441.03 = 301.11 : x
  2. Step 2: Convert to fraction form
    319.33/441.03 = 301.11/x
  3. Step 3: Cross multiply
    319.33x = 441.03 × 301.11
  4. Step 4: Simplify right side
    319.33x = 132,796.34
  5. Step 5: Solve for x
    x = 132,796.34/319.33
  6. Step 6: Final answer
    x = 415.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.