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Finding the Fourth Proportional to 682.10, 941.04 and 416.60

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Solution

The fourth proportional to 682.10, 941.04 and 416.60 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.10 : 941.04 = 416.60 : x
  2. Step 2: Convert to fraction form
    682.10/941.04 = 416.60/x
  3. Step 3: Cross multiply
    682.10x = 941.04 × 416.60
  4. Step 4: Simplify right side
    682.10x = 392,037.26
  5. Step 5: Solve for x
    x = 392,037.26/682.10
  6. Step 6: Final answer
    x = 574.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.