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Finding the Fourth Proportional to 620.38, 856.23 and 371.78

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Solution

The fourth proportional to 620.38, 856.23 and 371.78 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.38 : 856.23 = 371.78 : x
  2. Step 2: Convert to fraction form
    620.38/856.23 = 371.78/x
  3. Step 3: Cross multiply
    620.38x = 856.23 × 371.78
  4. Step 4: Simplify right side
    620.38x = 318,331.54
  5. Step 5: Solve for x
    x = 318,331.54/620.38
  6. Step 6: Final answer
    x = 513.12

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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.