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Finding the Fourth Proportional to 494.42, 682.45 and 361.72

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Solution

The fourth proportional to 494.42, 682.45 and 361.72 is: 499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 682.45 = 361.72 : x
  2. Step 2: Convert to fraction form
    494.42/682.45 = 361.72/x
  3. Step 3: Cross multiply
    494.42x = 682.45 × 361.72
  4. Step 4: Simplify right side
    494.42x = 246,855.81
  5. Step 5: Solve for x
    x = 246,855.81/494.42
  6. Step 6: Final answer
    x = 499.28

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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.