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Finding the Fourth Proportional to 347.82, 480.01 and 200.45

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Solution

The fourth proportional to 347.82, 480.01 and 200.45 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.82 : 480.01 = 200.45 : x
  2. Step 2: Convert to fraction form
    347.82/480.01 = 200.45/x
  3. Step 3: Cross multiply
    347.82x = 480.01 × 200.45
  4. Step 4: Simplify right side
    347.82x = 96,219.98
  5. Step 5: Solve for x
    x = 96,219.98/347.82
  6. Step 6: Final answer
    x = 276.64

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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.