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Finding the Fourth Proportional to 612.07, 917.77 and 201.10

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Solution

The fourth proportional to 612.07, 917.77 and 201.10 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.07 : 917.77 = 201.10 : x
  2. Step 2: Convert to fraction form
    612.07/917.77 = 201.10/x
  3. Step 3: Cross multiply
    612.07x = 917.77 × 201.10
  4. Step 4: Simplify right side
    612.07x = 184,563.55
  5. Step 5: Solve for x
    x = 184,563.55/612.07
  6. Step 6: Final answer
    x = 301.54

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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.