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Finding the Fourth Proportional to 370.73, 511.56 and 213.37

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Solution

The fourth proportional to 370.73, 511.56 and 213.37 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.73 : 511.56 = 213.37 : x
  2. Step 2: Convert to fraction form
    370.73/511.56 = 213.37/x
  3. Step 3: Cross multiply
    370.73x = 511.56 × 213.37
  4. Step 4: Simplify right side
    370.73x = 109,151.56
  5. Step 5: Solve for x
    x = 109,151.56/370.73
  6. Step 6: Final answer
    x = 294.42

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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.