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Finding the Fourth Proportional to 680.22, 937.70 and 493.42

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Solution

The fourth proportional to 680.22, 937.70 and 493.42 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.22 : 937.70 = 493.42 : x
  2. Step 2: Convert to fraction form
    680.22/937.70 = 493.42/x
  3. Step 3: Cross multiply
    680.22x = 937.70 × 493.42
  4. Step 4: Simplify right side
    680.22x = 462,677.48
  5. Step 5: Solve for x
    x = 462,677.48/680.22
  6. Step 6: Final answer
    x = 680.19

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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.