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Finding the Fourth Proportional to 605.08, 834.94 and 343

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Solution

The fourth proportional to 605.08, 834.94 and 343 is: 473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.08 : 834.94 = 343 : x
  2. Step 2: Convert to fraction form
    605.08/834.94 = 343/x
  3. Step 3: Cross multiply
    605.08x = 834.94 × 343
  4. Step 4: Simplify right side
    605.08x = 286,384.42
  5. Step 5: Solve for x
    x = 286,384.42/605.08
  6. Step 6: Final answer
    x = 473.30

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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.