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Finding the Fourth Proportional to 348.30, 480.75 and 217.24

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Solution

The fourth proportional to 348.30, 480.75 and 217.24 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.30 : 480.75 = 217.24 : x
  2. Step 2: Convert to fraction form
    348.30/480.75 = 217.24/x
  3. Step 3: Cross multiply
    348.30x = 480.75 × 217.24
  4. Step 4: Simplify right side
    348.30x = 104,438.13
  5. Step 5: Solve for x
    x = 104,438.13/348.30
  6. Step 6: Final answer
    x = 299.85

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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.