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Finding the Fourth Proportional to 348.06, 480.64 and 223.94

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Solution

The fourth proportional to 348.06, 480.64 and 223.94 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 480.64 = 223.94 : x
  2. Step 2: Convert to fraction form
    348.06/480.64 = 223.94/x
  3. Step 3: Cross multiply
    348.06x = 480.64 × 223.94
  4. Step 4: Simplify right side
    348.06x = 107,633.88
  5. Step 5: Solve for x
    x = 107,633.88/348.06
  6. Step 6: Final answer
    x = 309.24

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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.