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Finding the Fourth Proportional to 950.79, 1,426.45 and 326.22

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Solution

The fourth proportional to 950.79, 1,426.45 and 326.22 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.79 : 1,426.45 = 326.22 : x
  2. Step 2: Convert to fraction form
    950.79/1,426.45 = 326.22/x
  3. Step 3: Cross multiply
    950.79x = 1,426.45 × 326.22
  4. Step 4: Simplify right side
    950.79x = 465,336.52
  5. Step 5: Solve for x
    x = 465,336.52/950.79
  6. Step 6: Final answer
    x = 489.42

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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.