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Finding the Fourth Proportional to 343.57, 515.34 and 227.99

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Solution

The fourth proportional to 343.57, 515.34 and 227.99 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.57 : 515.34 = 227.99 : x
  2. Step 2: Convert to fraction form
    343.57/515.34 = 227.99/x
  3. Step 3: Cross multiply
    343.57x = 515.34 × 227.99
  4. Step 4: Simplify right side
    343.57x = 117,492.37
  5. Step 5: Solve for x
    x = 117,492.37/343.57
  6. Step 6: Final answer
    x = 341.98

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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.