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Finding the Fourth Proportional to 662.05, 914.05 and 426.09

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Solution

The fourth proportional to 662.05, 914.05 and 426.09 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.05 : 914.05 = 426.09 : x
  2. Step 2: Convert to fraction form
    662.05/914.05 = 426.09/x
  3. Step 3: Cross multiply
    662.05x = 914.05 × 426.09
  4. Step 4: Simplify right side
    662.05x = 389,466.38
  5. Step 5: Solve for x
    x = 389,466.38/662.05
  6. Step 6: Final answer
    x = 588.27

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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.