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Finding the Fourth Proportional to 344.66, 516.99 and 84.66

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Solution

The fourth proportional to 344.66, 516.99 and 84.66 is: 127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.66 : 516.99 = 84.66 : x
  2. Step 2: Convert to fraction form
    344.66/516.99 = 84.66/x
  3. Step 3: Cross multiply
    344.66x = 516.99 × 84.66
  4. Step 4: Simplify right side
    344.66x = 43,770.63
  5. Step 5: Solve for x
    x = 43,770.63/344.66
  6. Step 6: Final answer
    x = 127.00

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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.