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Finding the Fourth Proportional to 493.20, 680.09 and 423.50

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Solution

The fourth proportional to 493.20, 680.09 and 423.50 is: 583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 680.09 = 423.50 : x
  2. Step 2: Convert to fraction form
    493.20/680.09 = 423.50/x
  3. Step 3: Cross multiply
    493.20x = 680.09 × 423.50
  4. Step 4: Simplify right side
    493.20x = 288,012.60
  5. Step 5: Solve for x
    x = 288,012.60/493.20
  6. Step 6: Final answer
    x = 583.97

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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.