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Finding the Fourth Proportional to 655.82, 983.78 and 217.07

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Solution

The fourth proportional to 655.82, 983.78 and 217.07 is: 325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.82 : 983.78 = 217.07 : x
  2. Step 2: Convert to fraction form
    655.82/983.78 = 217.07/x
  3. Step 3: Cross multiply
    655.82x = 983.78 × 217.07
  4. Step 4: Simplify right side
    655.82x = 213,543.12
  5. Step 5: Solve for x
    x = 213,543.12/655.82
  6. Step 6: Final answer
    x = 325.61

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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.