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Finding the Fourth Proportional to 609.18, 840.44 and 550.25

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Solution

The fourth proportional to 609.18, 840.44 and 550.25 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.18 : 840.44 = 550.25 : x
  2. Step 2: Convert to fraction form
    609.18/840.44 = 550.25/x
  3. Step 3: Cross multiply
    609.18x = 840.44 × 550.25
  4. Step 4: Simplify right side
    609.18x = 462,452.11
  5. Step 5: Solve for x
    x = 462,452.11/609.18
  6. Step 6: Final answer
    x = 759.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.