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Finding the Fourth Proportional to 371.07, 512.27 and 231.24

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Solution

The fourth proportional to 371.07, 512.27 and 231.24 is: 319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.07 : 512.27 = 231.24 : x
  2. Step 2: Convert to fraction form
    371.07/512.27 = 231.24/x
  3. Step 3: Cross multiply
    371.07x = 512.27 × 231.24
  4. Step 4: Simplify right side
    371.07x = 118,457.31
  5. Step 5: Solve for x
    x = 118,457.31/371.07
  6. Step 6: Final answer
    x = 319.23

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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.