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Finding the Fourth Proportional to 371.99, 512.91 and 301.83

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Solution

The fourth proportional to 371.99, 512.91 and 301.83 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.99 : 512.91 = 301.83 : x
  2. Step 2: Convert to fraction form
    371.99/512.91 = 301.83/x
  3. Step 3: Cross multiply
    371.99x = 512.91 × 301.83
  4. Step 4: Simplify right side
    371.99x = 154,808.57
  5. Step 5: Solve for x
    x = 154,808.57/371.99
  6. Step 6: Final answer
    x = 416.17

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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.