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Finding the Fourth Proportional to 952.60, 1,428.78 and 404.68

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Solution

The fourth proportional to 952.60, 1,428.78 and 404.68 is: 606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.60 : 1,428.78 = 404.68 : x
  2. Step 2: Convert to fraction form
    952.60/1,428.78 = 404.68/x
  3. Step 3: Cross multiply
    952.60x = 1,428.78 × 404.68
  4. Step 4: Simplify right side
    952.60x = 578,198.69
  5. Step 5: Solve for x
    x = 578,198.69/952.60
  6. Step 6: Final answer
    x = 606.97

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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.