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Finding the Fourth Proportional to 650.66, 976.58 and 326.21

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Solution

The fourth proportional to 650.66, 976.58 and 326.21 is: 489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 976.58 = 326.21 : x
  2. Step 2: Convert to fraction form
    650.66/976.58 = 326.21/x
  3. Step 3: Cross multiply
    650.66x = 976.58 × 326.21
  4. Step 4: Simplify right side
    650.66x = 318,568.53
  5. Step 5: Solve for x
    x = 318,568.53/650.66
  6. Step 6: Final answer
    x = 489.61

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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.