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Finding the Fourth Proportional to 348.34, 480.56 and 223.78

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Solution

The fourth proportional to 348.34, 480.56 and 223.78 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.34 : 480.56 = 223.78 : x
  2. Step 2: Convert to fraction form
    348.34/480.56 = 223.78/x
  3. Step 3: Cross multiply
    348.34x = 480.56 × 223.78
  4. Step 4: Simplify right side
    348.34x = 107,539.72
  5. Step 5: Solve for x
    x = 107,539.72/348.34
  6. Step 6: Final answer
    x = 308.72

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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.