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Finding the Fourth Proportional to 372.80, 514.41 and 232.94

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Solution

The fourth proportional to 372.80, 514.41 and 232.94 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 514.41 = 232.94 : x
  2. Step 2: Convert to fraction form
    372.80/514.41 = 232.94/x
  3. Step 3: Cross multiply
    372.80x = 514.41 × 232.94
  4. Step 4: Simplify right side
    372.80x = 119,827.08
  5. Step 5: Solve for x
    x = 119,827.08/372.80
  6. Step 6: Final answer
    x = 321.42

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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.