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Finding the Fourth Proportional to 348.60, 480.83 and 224.06

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Solution

The fourth proportional to 348.60, 480.83 and 224.06 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.60 : 480.83 = 224.06 : x
  2. Step 2: Convert to fraction form
    348.60/480.83 = 224.06/x
  3. Step 3: Cross multiply
    348.60x = 480.83 × 224.06
  4. Step 4: Simplify right side
    348.60x = 107,734.13
  5. Step 5: Solve for x
    x = 107,734.13/348.60
  6. Step 6: Final answer
    x = 309.05

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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.