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Finding the Fourth Proportional to 493.40, 680.60 and 296.80

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Solution

The fourth proportional to 493.40, 680.60 and 296.80 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.40 : 680.60 = 296.80 : x
  2. Step 2: Convert to fraction form
    493.40/680.60 = 296.80/x
  3. Step 3: Cross multiply
    493.40x = 680.60 × 296.80
  4. Step 4: Simplify right side
    493.40x = 202,002.08
  5. Step 5: Solve for x
    x = 202,002.08/493.40
  6. Step 6: Final answer
    x = 409.41

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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.