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Finding the Fourth Proportional to 494.98, 683.10 and 295.96

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Solution

The fourth proportional to 494.98, 683.10 and 295.96 is: 408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.98 : 683.10 = 295.96 : x
  2. Step 2: Convert to fraction form
    494.98/683.10 = 295.96/x
  3. Step 3: Cross multiply
    494.98x = 683.10 × 295.96
  4. Step 4: Simplify right side
    494.98x = 202,170.28
  5. Step 5: Solve for x
    x = 202,170.28/494.98
  6. Step 6: Final answer
    x = 408.44

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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.