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Finding the Fourth Proportional to 366.53, 504.83 and 272.97

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Solution

The fourth proportional to 366.53, 504.83 and 272.97 is: 375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 504.83 = 272.97 : x
  2. Step 2: Convert to fraction form
    366.53/504.83 = 272.97/x
  3. Step 3: Cross multiply
    366.53x = 504.83 × 272.97
  4. Step 4: Simplify right side
    366.53x = 137,804.13
  5. Step 5: Solve for x
    x = 137,804.13/366.53
  6. Step 6: Final answer
    x = 375.97

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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.