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Finding the Fourth Proportional to 494.92, 683.13 and 298.54

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Solution

The fourth proportional to 494.92, 683.13 and 298.54 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 683.13 = 298.54 : x
  2. Step 2: Convert to fraction form
    494.92/683.13 = 298.54/x
  3. Step 3: Cross multiply
    494.92x = 683.13 × 298.54
  4. Step 4: Simplify right side
    494.92x = 203,941.63
  5. Step 5: Solve for x
    x = 203,941.63/494.92
  6. Step 6: Final answer
    x = 412.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.