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Finding the Fourth Proportional to 452.24, 677.42 and 344.68

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Solution

The fourth proportional to 452.24, 677.42 and 344.68 is: 516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 677.42 = 344.68 : x
  2. Step 2: Convert to fraction form
    452.24/677.42 = 344.68/x
  3. Step 3: Cross multiply
    452.24x = 677.42 × 344.68
  4. Step 4: Simplify right side
    452.24x = 233,493.13
  5. Step 5: Solve for x
    x = 233,493.13/452.24
  6. Step 6: Final answer
    x = 516.30

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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.