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Finding the Fourth Proportional to 343.26, 514.18 and 285.34

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Solution

The fourth proportional to 343.26, 514.18 and 285.34 is: 427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.26 : 514.18 = 285.34 : x
  2. Step 2: Convert to fraction form
    343.26/514.18 = 285.34/x
  3. Step 3: Cross multiply
    343.26x = 514.18 × 285.34
  4. Step 4: Simplify right side
    343.26x = 146,716.12
  5. Step 5: Solve for x
    x = 146,716.12/343.26
  6. Step 6: Final answer
    x = 427.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.