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Finding the Fourth Proportional to 605.21, 834.64 and 512.19

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Solution

The fourth proportional to 605.21, 834.64 and 512.19 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.21 : 834.64 = 512.19 : x
  2. Step 2: Convert to fraction form
    605.21/834.64 = 512.19/x
  3. Step 3: Cross multiply
    605.21x = 834.64 × 512.19
  4. Step 4: Simplify right side
    605.21x = 427,492.98
  5. Step 5: Solve for x
    x = 427,492.98/605.21
  6. Step 6: Final answer
    x = 706.36

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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.