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Finding the Fourth Proportional to 494.91, 683.24 and 298.49

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Solution

The fourth proportional to 494.91, 683.24 and 298.49 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.91 : 683.24 = 298.49 : x
  2. Step 2: Convert to fraction form
    494.91/683.24 = 298.49/x
  3. Step 3: Cross multiply
    494.91x = 683.24 × 298.49
  4. Step 4: Simplify right side
    494.91x = 203,935.40
  5. Step 5: Solve for x
    x = 203,935.40/494.91
  6. Step 6: Final answer
    x = 412.07

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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.