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Finding the Fourth Proportional to 611.38, 917.21 and 200.54

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Solution

The fourth proportional to 611.38, 917.21 and 200.54 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 917.21 = 200.54 : x
  2. Step 2: Convert to fraction form
    611.38/917.21 = 200.54/x
  3. Step 3: Cross multiply
    611.38x = 917.21 × 200.54
  4. Step 4: Simplify right side
    611.38x = 183,937.29
  5. Step 5: Solve for x
    x = 183,937.29/611.38
  6. Step 6: Final answer
    x = 300.86

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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.