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Finding the Fourth Proportional to 348.27, 521.86 and 219.75

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Solution

The fourth proportional to 348.27, 521.86 and 219.75 is: 329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.27 : 521.86 = 219.75 : x
  2. Step 2: Convert to fraction form
    348.27/521.86 = 219.75/x
  3. Step 3: Cross multiply
    348.27x = 521.86 × 219.75
  4. Step 4: Simplify right side
    348.27x = 114,678.74
  5. Step 5: Solve for x
    x = 114,678.74/348.27
  6. Step 6: Final answer
    x = 329.28

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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.