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Finding the Fourth Proportional to 682.97, 942.20 and 484.10

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Solution

The fourth proportional to 682.97, 942.20 and 484.10 is: 667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 942.20 = 484.10 : x
  2. Step 2: Convert to fraction form
    682.97/942.20 = 484.10/x
  3. Step 3: Cross multiply
    682.97x = 942.20 × 484.10
  4. Step 4: Simplify right side
    682.97x = 456,111.89
  5. Step 5: Solve for x
    x = 456,111.89/682.97
  6. Step 6: Final answer
    x = 667.84

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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.