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Finding the Fourth Proportional to 655.60, 983.22 and 326.40

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Solution

The fourth proportional to 655.60, 983.22 and 326.40 is: 489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.60 : 983.22 = 326.40 : x
  2. Step 2: Convert to fraction form
    655.60/983.22 = 326.40/x
  3. Step 3: Cross multiply
    655.60x = 983.22 × 326.40
  4. Step 4: Simplify right side
    655.60x = 320,923.01
  5. Step 5: Solve for x
    x = 320,923.01/655.60
  6. Step 6: Final answer
    x = 489.51

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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.