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Finding the Fourth Proportional to 347.98, 480.33 and 208.14

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Solution

The fourth proportional to 347.98, 480.33 and 208.14 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.98 : 480.33 = 208.14 : x
  2. Step 2: Convert to fraction form
    347.98/480.33 = 208.14/x
  3. Step 3: Cross multiply
    347.98x = 480.33 × 208.14
  4. Step 4: Simplify right side
    347.98x = 99,975.89
  5. Step 5: Solve for x
    x = 99,975.89/347.98
  6. Step 6: Final answer
    x = 287.31

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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.