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Finding the Fourth Proportional to 682.97, 942.66 and 462.15

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Solution

The fourth proportional to 682.97, 942.66 and 462.15 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 942.66 = 462.15 : x
  2. Step 2: Convert to fraction form
    682.97/942.66 = 462.15/x
  3. Step 3: Cross multiply
    682.97x = 942.66 × 462.15
  4. Step 4: Simplify right side
    682.97x = 435,650.32
  5. Step 5: Solve for x
    x = 435,650.32/682.97
  6. Step 6: Final answer
    x = 637.88

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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.