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Finding the Fourth Proportional to 682.29, 942.44 and 496.40

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Solution

The fourth proportional to 682.29, 942.44 and 496.40 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 942.44 = 496.40 : x
  2. Step 2: Convert to fraction form
    682.29/942.44 = 496.40/x
  3. Step 3: Cross multiply
    682.29x = 942.44 × 496.40
  4. Step 4: Simplify right side
    682.29x = 467,820.02
  5. Step 5: Solve for x
    x = 467,820.02/682.29
  6. Step 6: Final answer
    x = 685.66

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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.