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Finding the Fourth Proportional to 348.30, 480.65 and 208.40

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Solution

The fourth proportional to 348.30, 480.65 and 208.40 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.30 : 480.65 = 208.40 : x
  2. Step 2: Convert to fraction form
    348.30/480.65 = 208.40/x
  3. Step 3: Cross multiply
    348.30x = 480.65 × 208.40
  4. Step 4: Simplify right side
    348.30x = 100,164.01
  5. Step 5: Solve for x
    x = 100,164.01/348.30
  6. Step 6: Final answer
    x = 287.58

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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.