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Finding the Fourth Proportional to 362.44, 498.66 and 274.60

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Solution

The fourth proportional to 362.44, 498.66 and 274.60 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 498.66 = 274.60 : x
  2. Step 2: Convert to fraction form
    362.44/498.66 = 274.60/x
  3. Step 3: Cross multiply
    362.44x = 498.66 × 274.60
  4. Step 4: Simplify right side
    362.44x = 136,932.04
  5. Step 5: Solve for x
    x = 136,932.04/362.44
  6. Step 6: Final answer
    x = 377.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.