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Finding the Fourth Proportional to 489.52, 676.19 and 364.97

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Solution

The fourth proportional to 489.52, 676.19 and 364.97 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 676.19 = 364.97 : x
  2. Step 2: Convert to fraction form
    489.52/676.19 = 364.97/x
  3. Step 3: Cross multiply
    489.52x = 676.19 × 364.97
  4. Step 4: Simplify right side
    489.52x = 246,786.49
  5. Step 5: Solve for x
    x = 246,786.49/489.52
  6. Step 6: Final answer
    x = 504.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.