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Finding the Fourth Proportional to 680.36, 938.72 and 431.59

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Solution

The fourth proportional to 680.36, 938.72 and 431.59 is: 595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.36 : 938.72 = 431.59 : x
  2. Step 2: Convert to fraction form
    680.36/938.72 = 431.59/x
  3. Step 3: Cross multiply
    680.36x = 938.72 × 431.59
  4. Step 4: Simplify right side
    680.36x = 405,138.55
  5. Step 5: Solve for x
    x = 405,138.55/680.36
  6. Step 6: Final answer
    x = 595.48

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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.