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Finding the Fourth Proportional to 348.26, 480.20 and 260.78

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Solution

The fourth proportional to 348.26, 480.20 and 260.78 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 480.20 = 260.78 : x
  2. Step 2: Convert to fraction form
    348.26/480.20 = 260.78/x
  3. Step 3: Cross multiply
    348.26x = 480.20 × 260.78
  4. Step 4: Simplify right side
    348.26x = 125,222.85
  5. Step 5: Solve for x
    x = 125,222.85/348.26
  6. Step 6: Final answer
    x = 359.57

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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.