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Finding the Fourth Proportional to 609.31, 842.16 and 478.09

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Solution

The fourth proportional to 609.31, 842.16 and 478.09 is: 660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.31 : 842.16 = 478.09 : x
  2. Step 2: Convert to fraction form
    609.31/842.16 = 478.09/x
  3. Step 3: Cross multiply
    609.31x = 842.16 × 478.09
  4. Step 4: Simplify right side
    609.31x = 402,628.27
  5. Step 5: Solve for x
    x = 402,628.27/609.31
  6. Step 6: Final answer
    x = 660.79

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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.