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Finding the Fourth Proportional to 492.78, 680.04 and 296.34

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Solution

The fourth proportional to 492.78, 680.04 and 296.34 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 680.04 = 296.34 : x
  2. Step 2: Convert to fraction form
    492.78/680.04 = 296.34/x
  3. Step 3: Cross multiply
    492.78x = 680.04 × 296.34
  4. Step 4: Simplify right side
    492.78x = 201,523.05
  5. Step 5: Solve for x
    x = 201,523.05/492.78
  6. Step 6: Final answer
    x = 408.95

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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.