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Finding the Fourth Proportional to 599.05, 824.61 and 516.43

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Solution

The fourth proportional to 599.05, 824.61 and 516.43 is: 710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.05 : 824.61 = 516.43 : x
  2. Step 2: Convert to fraction form
    599.05/824.61 = 516.43/x
  3. Step 3: Cross multiply
    599.05x = 824.61 × 516.43
  4. Step 4: Simplify right side
    599.05x = 425,853.34
  5. Step 5: Solve for x
    x = 425,853.34/599.05
  6. Step 6: Final answer
    x = 710.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.