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Finding the Fourth Proportional to 620.59, 856.67 and 399.82

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Solution

The fourth proportional to 620.59, 856.67 and 399.82 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.59 : 856.67 = 399.82 : x
  2. Step 2: Convert to fraction form
    620.59/856.67 = 399.82/x
  3. Step 3: Cross multiply
    620.59x = 856.67 × 399.82
  4. Step 4: Simplify right side
    620.59x = 342,511.80
  5. Step 5: Solve for x
    x = 342,511.80/620.59
  6. Step 6: Final answer
    x = 551.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.