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Finding the Fourth Proportional to 348.37, 480.65 and 274.46

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Solution

The fourth proportional to 348.37, 480.65 and 274.46 is: 378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.37 : 480.65 = 274.46 : x
  2. Step 2: Convert to fraction form
    348.37/480.65 = 274.46/x
  3. Step 3: Cross multiply
    348.37x = 480.65 × 274.46
  4. Step 4: Simplify right side
    348.37x = 131,915.42
  5. Step 5: Solve for x
    x = 131,915.42/348.37
  6. Step 6: Final answer
    x = 378.67

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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.