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Finding the Fourth Proportional to 456.94, 685.57 and 274.46

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Solution

The fourth proportional to 456.94, 685.57 and 274.46 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.94 : 685.57 = 274.46 : x
  2. Step 2: Convert to fraction form
    456.94/685.57 = 274.46/x
  3. Step 3: Cross multiply
    456.94x = 685.57 × 274.46
  4. Step 4: Simplify right side
    456.94x = 188,161.54
  5. Step 5: Solve for x
    x = 188,161.54/456.94
  6. Step 6: Final answer
    x = 411.79

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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.