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Finding the Fourth Proportional to 348.47, 480.94 and 208.64

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Solution

The fourth proportional to 348.47, 480.94 and 208.64 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.47 : 480.94 = 208.64 : x
  2. Step 2: Convert to fraction form
    348.47/480.94 = 208.64/x
  3. Step 3: Cross multiply
    348.47x = 480.94 × 208.64
  4. Step 4: Simplify right side
    348.47x = 100,344.00
  5. Step 5: Solve for x
    x = 100,344.00/348.47
  6. Step 6: Final answer
    x = 287.96

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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.