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Finding the Fourth Proportional to 489.90, 676.32 and 379.14

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Solution

The fourth proportional to 489.90, 676.32 and 379.14 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.90 : 676.32 = 379.14 : x
  2. Step 2: Convert to fraction form
    489.90/676.32 = 379.14/x
  3. Step 3: Cross multiply
    489.90x = 676.32 × 379.14
  4. Step 4: Simplify right side
    489.90x = 256,419.96
  5. Step 5: Solve for x
    x = 256,419.96/489.90
  6. Step 6: Final answer
    x = 523.41

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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.