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Finding the Fourth Proportional to 494.85, 681.14 and 361.85

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Solution

The fourth proportional to 494.85, 681.14 and 361.85 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.85 : 681.14 = 361.85 : x
  2. Step 2: Convert to fraction form
    494.85/681.14 = 361.85/x
  3. Step 3: Cross multiply
    494.85x = 681.14 × 361.85
  4. Step 4: Simplify right side
    494.85x = 246,468.01
  5. Step 5: Solve for x
    x = 246,468.01/494.85
  6. Step 6: Final answer
    x = 498.06

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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.