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Finding the Fourth Proportional to 669.18, 922.97 and 447.75

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Solution

The fourth proportional to 669.18, 922.97 and 447.75 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 922.97 = 447.75 : x
  2. Step 2: Convert to fraction form
    669.18/922.97 = 447.75/x
  3. Step 3: Cross multiply
    669.18x = 922.97 × 447.75
  4. Step 4: Simplify right side
    669.18x = 413,257.58
  5. Step 5: Solve for x
    x = 413,257.58/669.18
  6. Step 6: Final answer
    x = 617.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.