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Finding the Fourth Proportional to 489.49, 676.17 and 380.36

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Solution

The fourth proportional to 489.49, 676.17 and 380.36 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.49 : 676.17 = 380.36 : x
  2. Step 2: Convert to fraction form
    489.49/676.17 = 380.36/x
  3. Step 3: Cross multiply
    489.49x = 676.17 × 380.36
  4. Step 4: Simplify right side
    489.49x = 257,188.02
  5. Step 5: Solve for x
    x = 257,188.02/489.49
  6. Step 6: Final answer
    x = 525.42

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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.