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Finding the Fourth Proportional to 494.45, 682.58 and 295.37

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Solution

The fourth proportional to 494.45, 682.58 and 295.37 is: 407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.45 : 682.58 = 295.37 : x
  2. Step 2: Convert to fraction form
    494.45/682.58 = 295.37/x
  3. Step 3: Cross multiply
    494.45x = 682.58 × 295.37
  4. Step 4: Simplify right side
    494.45x = 201,613.80
  5. Step 5: Solve for x
    x = 201,613.80/494.45
  6. Step 6: Final answer
    x = 407.75

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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.