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Finding the Fourth Proportional to 405.92, 609.10 and 200.66

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Solution

The fourth proportional to 405.92, 609.10 and 200.66 is: 301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 609.10 = 200.66 : x
  2. Step 2: Convert to fraction form
    405.92/609.10 = 200.66/x
  3. Step 3: Cross multiply
    405.92x = 609.10 × 200.66
  4. Step 4: Simplify right side
    405.92x = 122,218.46
  5. Step 5: Solve for x
    x = 122,218.46/405.92
  6. Step 6: Final answer
    x = 301.09

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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.