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Finding the Fourth Proportional to 347.97, 480.14 and 208.07

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Solution

The fourth proportional to 347.97, 480.14 and 208.07 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.97 : 480.14 = 208.07 : x
  2. Step 2: Convert to fraction form
    347.97/480.14 = 208.07/x
  3. Step 3: Cross multiply
    347.97x = 480.14 × 208.07
  4. Step 4: Simplify right side
    347.97x = 99,900.07
  5. Step 5: Solve for x
    x = 99,900.07/347.97
  6. Step 6: Final answer
    x = 287.10

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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.