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Finding the Fourth Proportional to 605, 834.90 and 343.04

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Solution

The fourth proportional to 605, 834.90 and 343.04 is: 473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605 : 834.90 = 343.04 : x
  2. Step 2: Convert to fraction form
    605/834.90 = 343.04/x
  3. Step 3: Cross multiply
    605x = 834.90 × 343.04
  4. Step 4: Simplify right side
    605x = 286,404.10
  5. Step 5: Solve for x
    x = 286,404.10/605
  6. Step 6: Final answer
    x = 473.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.