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Finding the Fourth Proportional to 611.74, 917.63 and 200.87

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Solution

The fourth proportional to 611.74, 917.63 and 200.87 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 917.63 = 200.87 : x
  2. Step 2: Convert to fraction form
    611.74/917.63 = 200.87/x
  3. Step 3: Cross multiply
    611.74x = 917.63 × 200.87
  4. Step 4: Simplify right side
    611.74x = 184,324.34
  5. Step 5: Solve for x
    x = 184,324.34/611.74
  6. Step 6: Final answer
    x = 301.31

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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.