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Finding the Fourth Proportional to 609.42, 914.40 and 414.66

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Solution

The fourth proportional to 609.42, 914.40 and 414.66 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 914.40 = 414.66 : x
  2. Step 2: Convert to fraction form
    609.42/914.40 = 414.66/x
  3. Step 3: Cross multiply
    609.42x = 914.40 × 414.66
  4. Step 4: Simplify right side
    609.42x = 379,165.10
  5. Step 5: Solve for x
    x = 379,165.10/609.42
  6. Step 6: Final answer
    x = 622.17

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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.