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Finding the Fourth Proportional to 371.22, 512.67 and 301.98

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Solution

The fourth proportional to 371.22, 512.67 and 301.98 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.22 : 512.67 = 301.98 : x
  2. Step 2: Convert to fraction form
    371.22/512.67 = 301.98/x
  3. Step 3: Cross multiply
    371.22x = 512.67 × 301.98
  4. Step 4: Simplify right side
    371.22x = 154,816.09
  5. Step 5: Solve for x
    x = 154,816.09/371.22
  6. Step 6: Final answer
    x = 417.05

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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.