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Finding the Fourth Proportional to 348.28, 480.66 and 208.45

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Solution

The fourth proportional to 348.28, 480.66 and 208.45 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.28 : 480.66 = 208.45 : x
  2. Step 2: Convert to fraction form
    348.28/480.66 = 208.45/x
  3. Step 3: Cross multiply
    348.28x = 480.66 × 208.45
  4. Step 4: Simplify right side
    348.28x = 100,193.58
  5. Step 5: Solve for x
    x = 100,193.58/348.28
  6. Step 6: Final answer
    x = 287.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.