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Finding the Fourth Proportional to 447.89, 670.82 and 216.95

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Solution

The fourth proportional to 447.89, 670.82 and 216.95 is: 324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.89 : 670.82 = 216.95 : x
  2. Step 2: Convert to fraction form
    447.89/670.82 = 216.95/x
  3. Step 3: Cross multiply
    447.89x = 670.82 × 216.95
  4. Step 4: Simplify right side
    447.89x = 145,534.40
  5. Step 5: Solve for x
    x = 145,534.40/447.89
  6. Step 6: Final answer
    x = 324.93

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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.