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Finding the Fourth Proportional to 612.05, 917.85 and 201.09

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Solution

The fourth proportional to 612.05, 917.85 and 201.09 is: 301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.05 : 917.85 = 201.09 : x
  2. Step 2: Convert to fraction form
    612.05/917.85 = 201.09/x
  3. Step 3: Cross multiply
    612.05x = 917.85 × 201.09
  4. Step 4: Simplify right side
    612.05x = 184,570.46
  5. Step 5: Solve for x
    x = 184,570.46/612.05
  6. Step 6: Final answer
    x = 301.56

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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.