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Finding the Fourth Proportional to 611.76, 917.56 and 201.16

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Solution

The fourth proportional to 611.76, 917.56 and 201.16 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.76 : 917.56 = 201.16 : x
  2. Step 2: Convert to fraction form
    611.76/917.56 = 201.16/x
  3. Step 3: Cross multiply
    611.76x = 917.56 × 201.16
  4. Step 4: Simplify right side
    611.76x = 184,576.37
  5. Step 5: Solve for x
    x = 184,576.37/611.76
  6. Step 6: Final answer
    x = 301.71

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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.