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Finding the Fourth Proportional to 611.71, 917.36 and 200.78

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Solution

The fourth proportional to 611.71, 917.36 and 200.78 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.71 : 917.36 = 200.78 : x
  2. Step 2: Convert to fraction form
    611.71/917.36 = 200.78/x
  3. Step 3: Cross multiply
    611.71x = 917.36 × 200.78
  4. Step 4: Simplify right side
    611.71x = 184,186.99
  5. Step 5: Solve for x
    x = 184,186.99/611.71
  6. Step 6: Final answer
    x = 301.10

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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.