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Finding the Fourth Proportional to 348.06, 480.06 and 296.09

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Solution

The fourth proportional to 348.06, 480.06 and 296.09 is: 408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 480.06 = 296.09 : x
  2. Step 2: Convert to fraction form
    348.06/480.06 = 296.09/x
  3. Step 3: Cross multiply
    348.06x = 480.06 × 296.09
  4. Step 4: Simplify right side
    348.06x = 142,138.57
  5. Step 5: Solve for x
    x = 142,138.57/348.06
  6. Step 6: Final answer
    x = 408.37

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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.