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Finding the Fourth Proportional to 274.46, 409.64 and 252.76

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Solution

The fourth proportional to 274.46, 409.64 and 252.76 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 409.64 = 252.76 : x
  2. Step 2: Convert to fraction form
    274.46/409.64 = 252.76/x
  3. Step 3: Cross multiply
    274.46x = 409.64 × 252.76
  4. Step 4: Simplify right side
    274.46x = 103,540.61
  5. Step 5: Solve for x
    x = 103,540.61/274.46
  6. Step 6: Final answer
    x = 377.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.