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Finding the Fourth Proportional to 348.56, 521.88 and 219.92

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Solution

The fourth proportional to 348.56, 521.88 and 219.92 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.56 : 521.88 = 219.92 : x
  2. Step 2: Convert to fraction form
    348.56/521.88 = 219.92/x
  3. Step 3: Cross multiply
    348.56x = 521.88 × 219.92
  4. Step 4: Simplify right side
    348.56x = 114,771.85
  5. Step 5: Solve for x
    x = 114,771.85/348.56
  6. Step 6: Final answer
    x = 329.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.