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Finding the Fourth Proportional to 343.24, 514.55 and 227.66

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Solution

The fourth proportional to 343.24, 514.55 and 227.66 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 514.55 = 227.66 : x
  2. Step 2: Convert to fraction form
    343.24/514.55 = 227.66/x
  3. Step 3: Cross multiply
    343.24x = 514.55 × 227.66
  4. Step 4: Simplify right side
    343.24x = 117,143.34
  5. Step 5: Solve for x
    x = 117,143.34/343.24
  6. Step 6: Final answer
    x = 341.29

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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.