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Finding the Fourth Proportional to 371.94, 514.26 and 325.80

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Solution

The fourth proportional to 371.94, 514.26 and 325.80 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 514.26 = 325.80 : x
  2. Step 2: Convert to fraction form
    371.94/514.26 = 325.80/x
  3. Step 3: Cross multiply
    371.94x = 514.26 × 325.80
  4. Step 4: Simplify right side
    371.94x = 167,545.91
  5. Step 5: Solve for x
    x = 167,545.91/371.94
  6. Step 6: Final answer
    x = 450.46

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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.