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Finding the Fourth Proportional to 611.43, 917.29 and 200.57

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Solution

The fourth proportional to 611.43, 917.29 and 200.57 is: 300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.43 : 917.29 = 200.57 : x
  2. Step 2: Convert to fraction form
    611.43/917.29 = 200.57/x
  3. Step 3: Cross multiply
    611.43x = 917.29 × 200.57
  4. Step 4: Simplify right side
    611.43x = 183,975.77
  5. Step 5: Solve for x
    x = 183,975.77/611.43
  6. Step 6: Final answer
    x = 300.89

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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.