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Finding the Fourth Proportional to 605.05, 834.64 and 418.21

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Solution

The fourth proportional to 605.05, 834.64 and 418.21 is: 576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.05 : 834.64 = 418.21 : x
  2. Step 2: Convert to fraction form
    605.05/834.64 = 418.21/x
  3. Step 3: Cross multiply
    605.05x = 834.64 × 418.21
  4. Step 4: Simplify right side
    605.05x = 349,054.79
  5. Step 5: Solve for x
    x = 349,054.79/605.05
  6. Step 6: Final answer
    x = 576.90

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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.