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Finding the Fourth Proportional to 343.94, 516.17 and 322.41

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Solution

The fourth proportional to 343.94, 516.17 and 322.41 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.94 : 516.17 = 322.41 : x
  2. Step 2: Convert to fraction form
    343.94/516.17 = 322.41/x
  3. Step 3: Cross multiply
    343.94x = 516.17 × 322.41
  4. Step 4: Simplify right side
    343.94x = 166,417.98
  5. Step 5: Solve for x
    x = 166,417.98/343.94
  6. Step 6: Final answer
    x = 483.86

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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.