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Finding the Fourth Proportional to 456.77, 685.85 and 274.97

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Solution

The fourth proportional to 456.77, 685.85 and 274.97 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.77 : 685.85 = 274.97 : x
  2. Step 2: Convert to fraction form
    456.77/685.85 = 274.97/x
  3. Step 3: Cross multiply
    456.77x = 685.85 × 274.97
  4. Step 4: Simplify right side
    456.77x = 188,583.37
  5. Step 5: Solve for x
    x = 188,583.37/456.77
  6. Step 6: Final answer
    x = 412.87

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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.