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Finding the Fourth Proportional to 340.40, 471.74 and 333.92

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Solution

The fourth proportional to 340.40, 471.74 and 333.92 is: 462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 471.74 = 333.92 : x
  2. Step 2: Convert to fraction form
    340.40/471.74 = 333.92/x
  3. Step 3: Cross multiply
    340.40x = 471.74 × 333.92
  4. Step 4: Simplify right side
    340.40x = 157,523.42
  5. Step 5: Solve for x
    x = 157,523.42/340.40
  6. Step 6: Final answer
    x = 462.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.