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Finding the Fourth Proportional to 609.06, 913.81 and 365.75

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Solution

The fourth proportional to 609.06, 913.81 and 365.75 is: 548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.06 : 913.81 = 365.75 : x
  2. Step 2: Convert to fraction form
    609.06/913.81 = 365.75/x
  3. Step 3: Cross multiply
    609.06x = 913.81 × 365.75
  4. Step 4: Simplify right side
    609.06x = 334,226.01
  5. Step 5: Solve for x
    x = 334,226.01/609.06
  6. Step 6: Final answer
    x = 548.76

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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.