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Finding the Fourth Proportional to 371.94, 513.58 and 232.22

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Solution

The fourth proportional to 371.94, 513.58 and 232.22 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 513.58 = 232.22 : x
  2. Step 2: Convert to fraction form
    371.94/513.58 = 232.22/x
  3. Step 3: Cross multiply
    371.94x = 513.58 × 232.22
  4. Step 4: Simplify right side
    371.94x = 119,263.55
  5. Step 5: Solve for x
    x = 119,263.55/371.94
  6. Step 6: Final answer
    x = 320.65

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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.