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Finding the Fourth Proportional to 620.67, 856.58 and 340.96

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Solution

The fourth proportional to 620.67, 856.58 and 340.96 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.67 : 856.58 = 340.96 : x
  2. Step 2: Convert to fraction form
    620.67/856.58 = 340.96/x
  3. Step 3: Cross multiply
    620.67x = 856.58 × 340.96
  4. Step 4: Simplify right side
    620.67x = 292,059.52
  5. Step 5: Solve for x
    x = 292,059.52/620.67
  6. Step 6: Final answer
    x = 470.56

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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.