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Finding the Fourth Proportional to 682.68, 941.82 and 475.80

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Solution

The fourth proportional to 682.68, 941.82 and 475.80 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 941.82 = 475.80 : x
  2. Step 2: Convert to fraction form
    682.68/941.82 = 475.80/x
  3. Step 3: Cross multiply
    682.68x = 941.82 × 475.80
  4. Step 4: Simplify right side
    682.68x = 448,117.96
  5. Step 5: Solve for x
    x = 448,117.96/682.68
  6. Step 6: Final answer
    x = 656.41

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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.