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Finding the Fourth Proportional to 342.94, 513.27 and 274.14

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Solution

The fourth proportional to 342.94, 513.27 and 274.14 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 513.27 = 274.14 : x
  2. Step 2: Convert to fraction form
    342.94/513.27 = 274.14/x
  3. Step 3: Cross multiply
    342.94x = 513.27 × 274.14
  4. Step 4: Simplify right side
    342.94x = 140,706.68
  5. Step 5: Solve for x
    x = 140,706.68/342.94
  6. Step 6: Final answer
    x = 410.30

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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.