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Finding the Fourth Proportional to 682.02, 941.22 and 416.52

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Solution

The fourth proportional to 682.02, 941.22 and 416.52 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 941.22 = 416.52 : x
  2. Step 2: Convert to fraction form
    682.02/941.22 = 416.52/x
  3. Step 3: Cross multiply
    682.02x = 941.22 × 416.52
  4. Step 4: Simplify right side
    682.02x = 392,036.95
  5. Step 5: Solve for x
    x = 392,036.95/682.02
  6. Step 6: Final answer
    x = 574.82

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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.