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Finding the Fourth Proportional to 600.12, 900.24 and 326.61

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Solution

The fourth proportional to 600.12, 900.24 and 326.61 is: 489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 900.24 = 326.61 : x
  2. Step 2: Convert to fraction form
    600.12/900.24 = 326.61/x
  3. Step 3: Cross multiply
    600.12x = 900.24 × 326.61
  4. Step 4: Simplify right side
    600.12x = 294,027.39
  5. Step 5: Solve for x
    x = 294,027.39/600.12
  6. Step 6: Final answer
    x = 489.95

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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.