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Finding the Fourth Proportional to 620.50, 856.27 and 371.81

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Solution

The fourth proportional to 620.50, 856.27 and 371.81 is: 513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 856.27 = 371.81 : x
  2. Step 2: Convert to fraction form
    620.50/856.27 = 371.81/x
  3. Step 3: Cross multiply
    620.50x = 856.27 × 371.81
  4. Step 4: Simplify right side
    620.50x = 318,369.75
  5. Step 5: Solve for x
    x = 318,369.75/620.50
  6. Step 6: Final answer
    x = 513.09

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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.