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Finding the Fourth Proportional to 348.54, 481.16 and 217.60

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Solution

The fourth proportional to 348.54, 481.16 and 217.60 is: 300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 481.16 = 217.60 : x
  2. Step 2: Convert to fraction form
    348.54/481.16 = 217.60/x
  3. Step 3: Cross multiply
    348.54x = 481.16 × 217.60
  4. Step 4: Simplify right side
    348.54x = 104,700.42
  5. Step 5: Solve for x
    x = 104,700.42/348.54
  6. Step 6: Final answer
    x = 300.40

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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.