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Finding the Fourth Proportional to 952.11, 1,428.17 and 403.92

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Solution

The fourth proportional to 952.11, 1,428.17 and 403.92 is: 605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.11 : 1,428.17 = 403.92 : x
  2. Step 2: Convert to fraction form
    952.11/1,428.17 = 403.92/x
  3. Step 3: Cross multiply
    952.11x = 1,428.17 × 403.92
  4. Step 4: Simplify right side
    952.11x = 576,864.41
  5. Step 5: Solve for x
    x = 576,864.41/952.11
  6. Step 6: Final answer
    x = 605.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.