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Finding the Fourth Proportional to 680.47, 939.13 and 431.80

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Solution

The fourth proportional to 680.47, 939.13 and 431.80 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.47 : 939.13 = 431.80 : x
  2. Step 2: Convert to fraction form
    680.47/939.13 = 431.80/x
  3. Step 3: Cross multiply
    680.47x = 939.13 × 431.80
  4. Step 4: Simplify right side
    680.47x = 405,512.91
  5. Step 5: Solve for x
    x = 405,512.91/680.47
  6. Step 6: Final answer
    x = 595.93

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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.