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Finding the Fourth Proportional to 371.59, 512.33 and 301.39

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Solution

The fourth proportional to 371.59, 512.33 and 301.39 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.59 : 512.33 = 301.39 : x
  2. Step 2: Convert to fraction form
    371.59/512.33 = 301.39/x
  3. Step 3: Cross multiply
    371.59x = 512.33 × 301.39
  4. Step 4: Simplify right side
    371.59x = 154,408.35
  5. Step 5: Solve for x
    x = 154,408.35/371.59
  6. Step 6: Final answer
    x = 415.54

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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.