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Finding the Fourth Proportional to 489.86, 676.02 and 268.83

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Solution

The fourth proportional to 489.86, 676.02 and 268.83 is: 370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.86 : 676.02 = 268.83 : x
  2. Step 2: Convert to fraction form
    489.86/676.02 = 268.83/x
  3. Step 3: Cross multiply
    489.86x = 676.02 × 268.83
  4. Step 4: Simplify right side
    489.86x = 181,735.98
  5. Step 5: Solve for x
    x = 181,735.98/489.86
  6. Step 6: Final answer
    x = 370.99

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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.