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Finding the Fourth Proportional to 609.50, 839.80 and 412.66

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Solution

The fourth proportional to 609.50, 839.80 and 412.66 is: 568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 839.80 = 412.66 : x
  2. Step 2: Convert to fraction form
    609.50/839.80 = 412.66/x
  3. Step 3: Cross multiply
    609.50x = 839.80 × 412.66
  4. Step 4: Simplify right side
    609.50x = 346,551.87
  5. Step 5: Solve for x
    x = 346,551.87/609.50
  6. Step 6: Final answer
    x = 568.58

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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.