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Finding the Fourth Proportional to 348, 480.33 and 208.21

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Solution

The fourth proportional to 348, 480.33 and 208.21 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348 : 480.33 = 208.21 : x
  2. Step 2: Convert to fraction form
    348/480.33 = 208.21/x
  3. Step 3: Cross multiply
    348x = 480.33 × 208.21
  4. Step 4: Simplify right side
    348x = 100,006.07
  5. Step 5: Solve for x
    x = 100,006.07/348
  6. Step 6: Final answer
    x = 287.37

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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.