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Finding the Fourth Proportional to 348.54, 480.96 and 217.50

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Solution

The fourth proportional to 348.54, 480.96 and 217.50 is: 300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 480.96 = 217.50 : x
  2. Step 2: Convert to fraction form
    348.54/480.96 = 217.50/x
  3. Step 3: Cross multiply
    348.54x = 480.96 × 217.50
  4. Step 4: Simplify right side
    348.54x = 104,608.80
  5. Step 5: Solve for x
    x = 104,608.80/348.54
  6. Step 6: Final answer
    x = 300.13

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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.