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Finding the Fourth Proportional to 484.75, 668.68 and 298.20

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Solution

The fourth proportional to 484.75, 668.68 and 298.20 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.75 : 668.68 = 298.20 : x
  2. Step 2: Convert to fraction form
    484.75/668.68 = 298.20/x
  3. Step 3: Cross multiply
    484.75x = 668.68 × 298.20
  4. Step 4: Simplify right side
    484.75x = 199,403.82
  5. Step 5: Solve for x
    x = 199,403.82/484.75
  6. Step 6: Final answer
    x = 411.36

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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.