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Finding the Fourth Proportional to 609.94, 912.84 and 414.46

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Solution

The fourth proportional to 609.94, 912.84 and 414.46 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.94 : 912.84 = 414.46 : x
  2. Step 2: Convert to fraction form
    609.94/912.84 = 414.46/x
  3. Step 3: Cross multiply
    609.94x = 912.84 × 414.46
  4. Step 4: Simplify right side
    609.94x = 378,335.67
  5. Step 5: Solve for x
    x = 378,335.67/609.94
  6. Step 6: Final answer
    x = 620.28

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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.