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Finding the Fourth Proportional to 347.39, 479.42 and 200.06

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Solution

The fourth proportional to 347.39, 479.42 and 200.06 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.39 : 479.42 = 200.06 : x
  2. Step 2: Convert to fraction form
    347.39/479.42 = 200.06/x
  3. Step 3: Cross multiply
    347.39x = 479.42 × 200.06
  4. Step 4: Simplify right side
    347.39x = 95,912.77
  5. Step 5: Solve for x
    x = 95,912.77/347.39
  6. Step 6: Final answer
    x = 276.10

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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.