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Finding the Fourth Proportional to 457.26, 685.95 and 274.62

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Solution

The fourth proportional to 457.26, 685.95 and 274.62 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 685.95 = 274.62 : x
  2. Step 2: Convert to fraction form
    457.26/685.95 = 274.62/x
  3. Step 3: Cross multiply
    457.26x = 685.95 × 274.62
  4. Step 4: Simplify right side
    457.26x = 188,375.59
  5. Step 5: Solve for x
    x = 188,375.59/457.26
  6. Step 6: Final answer
    x = 411.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.