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Finding the Fourth Proportional to 620.52, 856.20 and 371.85

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Solution

The fourth proportional to 620.52, 856.20 and 371.85 is: 513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.52 : 856.20 = 371.85 : x
  2. Step 2: Convert to fraction form
    620.52/856.20 = 371.85/x
  3. Step 3: Cross multiply
    620.52x = 856.20 × 371.85
  4. Step 4: Simplify right side
    620.52x = 318,377.97
  5. Step 5: Solve for x
    x = 318,377.97/620.52
  6. Step 6: Final answer
    x = 513.08

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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.