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Finding the Fourth Proportional to 457.26, 685.36 and 183.27

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Solution

The fourth proportional to 457.26, 685.36 and 183.27 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 685.36 = 183.27 : x
  2. Step 2: Convert to fraction form
    457.26/685.36 = 183.27/x
  3. Step 3: Cross multiply
    457.26x = 685.36 × 183.27
  4. Step 4: Simplify right side
    457.26x = 125,605.93
  5. Step 5: Solve for x
    x = 125,605.93/457.26
  6. Step 6: Final answer
    x = 274.69

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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.