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Finding the Fourth Proportional to 447.23, 615.89 and 402.59

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Solution

The fourth proportional to 447.23, 615.89 and 402.59 is: 554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.23 : 615.89 = 402.59 : x
  2. Step 2: Convert to fraction form
    447.23/615.89 = 402.59/x
  3. Step 3: Cross multiply
    447.23x = 615.89 × 402.59
  4. Step 4: Simplify right side
    447.23x = 247,949.08
  5. Step 5: Solve for x
    x = 247,949.08/447.23
  6. Step 6: Final answer
    x = 554.42

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