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Finding the Fourth Proportional to 609.10, 839.56 and 412.54

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Solution

The fourth proportional to 609.10, 839.56 and 412.54 is: 568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.10 : 839.56 = 412.54 : x
  2. Step 2: Convert to fraction form
    609.10/839.56 = 412.54/x
  3. Step 3: Cross multiply
    609.10x = 839.56 × 412.54
  4. Step 4: Simplify right side
    609.10x = 346,352.08
  5. Step 5: Solve for x
    x = 346,352.08/609.10
  6. Step 6: Final answer
    x = 568.63

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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.