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Finding the Fourth Proportional to 611.62, 917.23 and 200.65

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Solution

The fourth proportional to 611.62, 917.23 and 200.65 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.62 : 917.23 = 200.65 : x
  2. Step 2: Convert to fraction form
    611.62/917.23 = 200.65/x
  3. Step 3: Cross multiply
    611.62x = 917.23 × 200.65
  4. Step 4: Simplify right side
    611.62x = 184,042.20
  5. Step 5: Solve for x
    x = 184,042.20/611.62
  6. Step 6: Final answer
    x = 300.91

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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.