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Finding the Fourth Proportional to 347.54, 479.52 and 200.09

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Solution

The fourth proportional to 347.54, 479.52 and 200.09 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.54 : 479.52 = 200.09 : x
  2. Step 2: Convert to fraction form
    347.54/479.52 = 200.09/x
  3. Step 3: Cross multiply
    347.54x = 479.52 × 200.09
  4. Step 4: Simplify right side
    347.54x = 95,948.36
  5. Step 5: Solve for x
    x = 95,948.36/347.54
  6. Step 6: Final answer
    x = 276.08

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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.