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Finding the Fourth Proportional to 343.92, 515.96 and 235.76

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Solution

The fourth proportional to 343.92, 515.96 and 235.76 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 515.96 = 235.76 : x
  2. Step 2: Convert to fraction form
    343.92/515.96 = 235.76/x
  3. Step 3: Cross multiply
    343.92x = 515.96 × 235.76
  4. Step 4: Simplify right side
    343.92x = 121,642.73
  5. Step 5: Solve for x
    x = 121,642.73/343.92
  6. Step 6: Final answer
    x = 353.69

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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.