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Finding the Fourth Proportional to 395.30, 593.09 and 200.09

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Solution

The fourth proportional to 395.30, 593.09 and 200.09 is: 300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.30 : 593.09 = 200.09 : x
  2. Step 2: Convert to fraction form
    395.30/593.09 = 200.09/x
  3. Step 3: Cross multiply
    395.30x = 593.09 × 200.09
  4. Step 4: Simplify right side
    395.30x = 118,667.41
  5. Step 5: Solve for x
    x = 118,667.41/395.30
  6. Step 6: Final answer
    x = 300.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.