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Finding the Fourth Proportional to 680.05, 938.45 and 369.55

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Solution

The fourth proportional to 680.05, 938.45 and 369.55 is: 509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.05 : 938.45 = 369.55 : x
  2. Step 2: Convert to fraction form
    680.05/938.45 = 369.55/x
  3. Step 3: Cross multiply
    680.05x = 938.45 × 369.55
  4. Step 4: Simplify right side
    680.05x = 346,804.20
  5. Step 5: Solve for x
    x = 346,804.20/680.05
  6. Step 6: Final answer
    x = 509.97

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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.