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Finding the Fourth Proportional to 682.25, 941.24 and 416.60

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Solution

The fourth proportional to 682.25, 941.24 and 416.60 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 941.24 = 416.60 : x
  2. Step 2: Convert to fraction form
    682.25/941.24 = 416.60/x
  3. Step 3: Cross multiply
    682.25x = 941.24 × 416.60
  4. Step 4: Simplify right side
    682.25x = 392,120.58
  5. Step 5: Solve for x
    x = 392,120.58/682.25
  6. Step 6: Final answer
    x = 574.75

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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.