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Finding the Fourth Proportional to 517.05, 714.10 and 350.97

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Solution

The fourth proportional to 517.05, 714.10 and 350.97 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 714.10 = 350.97 : x
  2. Step 2: Convert to fraction form
    517.05/714.10 = 350.97/x
  3. Step 3: Cross multiply
    517.05x = 714.10 × 350.97
  4. Step 4: Simplify right side
    517.05x = 250,629.27
  5. Step 5: Solve for x
    x = 250,629.27/517.05
  6. Step 6: Final answer
    x = 484.73

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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.