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Finding the Fourth Proportional to 489.64, 676.08 and 379.48

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Solution

The fourth proportional to 489.64, 676.08 and 379.48 is: 523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 676.08 = 379.48 : x
  2. Step 2: Convert to fraction form
    489.64/676.08 = 379.48/x
  3. Step 3: Cross multiply
    489.64x = 676.08 × 379.48
  4. Step 4: Simplify right side
    489.64x = 256,558.84
  5. Step 5: Solve for x
    x = 256,558.84/489.64
  6. Step 6: Final answer
    x = 523.97

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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.