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Finding the Fourth Proportional to 343.24, 511.22 and 341.44

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Solution

The fourth proportional to 343.24, 511.22 and 341.44 is: 508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 511.22 = 341.44 : x
  2. Step 2: Convert to fraction form
    343.24/511.22 = 341.44/x
  3. Step 3: Cross multiply
    343.24x = 511.22 × 341.44
  4. Step 4: Simplify right side
    343.24x = 174,550.96
  5. Step 5: Solve for x
    x = 174,550.96/343.24
  6. Step 6: Final answer
    x = 508.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.