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Finding the Fourth Proportional to 517.74, 714.83 and 343.38

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Solution

The fourth proportional to 517.74, 714.83 and 343.38 is: 474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.74 : 714.83 = 343.38 : x
  2. Step 2: Convert to fraction form
    517.74/714.83 = 343.38/x
  3. Step 3: Cross multiply
    517.74x = 714.83 × 343.38
  4. Step 4: Simplify right side
    517.74x = 245,458.33
  5. Step 5: Solve for x
    x = 245,458.33/517.74
  6. Step 6: Final answer
    x = 474.10

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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.