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Finding the Fourth Proportional to 484.85, 669.15 and 298.31

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Solution

The fourth proportional to 484.85, 669.15 and 298.31 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.85 : 669.15 = 298.31 : x
  2. Step 2: Convert to fraction form
    484.85/669.15 = 298.31/x
  3. Step 3: Cross multiply
    484.85x = 669.15 × 298.31
  4. Step 4: Simplify right side
    484.85x = 199,610.79
  5. Step 5: Solve for x
    x = 199,610.79/484.85
  6. Step 6: Final answer
    x = 411.69

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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.