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Finding the Fourth Proportional to 343.96, 514.64 and 235.84

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Solution

The fourth proportional to 343.96, 514.64 and 235.84 is: 352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 514.64 = 235.84 : x
  2. Step 2: Convert to fraction form
    343.96/514.64 = 235.84/x
  3. Step 3: Cross multiply
    343.96x = 514.64 × 235.84
  4. Step 4: Simplify right side
    343.96x = 121,372.70
  5. Step 5: Solve for x
    x = 121,372.70/343.96
  6. Step 6: Final answer
    x = 352.87

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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.