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Finding the Fourth Proportional to 343.68, 514.83 and 261.56

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Solution

The fourth proportional to 343.68, 514.83 and 261.56 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 514.83 = 261.56 : x
  2. Step 2: Convert to fraction form
    343.68/514.83 = 261.56/x
  3. Step 3: Cross multiply
    343.68x = 514.83 × 261.56
  4. Step 4: Simplify right side
    343.68x = 134,656.36
  5. Step 5: Solve for x
    x = 134,656.36/343.68
  6. Step 6: Final answer
    x = 391.81

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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.