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Finding the Fourth Proportional to 326.97, 489.83 and 246.15

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Solution

The fourth proportional to 326.97, 489.83 and 246.15 is: 368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 489.83 = 246.15 : x
  2. Step 2: Convert to fraction form
    326.97/489.83 = 246.15/x
  3. Step 3: Cross multiply
    326.97x = 489.83 × 246.15
  4. Step 4: Simplify right side
    326.97x = 120,570.42
  5. Step 5: Solve for x
    x = 120,570.42/326.97
  6. Step 6: Final answer
    x = 368.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.