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Finding the Fourth Proportional to 347.84, 480.01 and 208.06

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Solution

The fourth proportional to 347.84, 480.01 and 208.06 is: 287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 480.01 = 208.06 : x
  2. Step 2: Convert to fraction form
    347.84/480.01 = 208.06/x
  3. Step 3: Cross multiply
    347.84x = 480.01 × 208.06
  4. Step 4: Simplify right side
    347.84x = 99,867.44
  5. Step 5: Solve for x
    x = 99,867.44/347.84
  6. Step 6: Final answer
    x = 287.11

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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.