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Finding the Fourth Proportional to 457.27, 685.27 and 396.25

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Solution

The fourth proportional to 457.27, 685.27 and 396.25 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.27 : 685.27 = 396.25 : x
  2. Step 2: Convert to fraction form
    457.27/685.27 = 396.25/x
  3. Step 3: Cross multiply
    457.27x = 685.27 × 396.25
  4. Step 4: Simplify right side
    457.27x = 271,532.83
  5. Step 5: Solve for x
    x = 271,532.83/457.27
  6. Step 6: Final answer
    x = 593.82

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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.