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Finding the Fourth Proportional to 645.06, 966.69 and 279.48

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Solution

The fourth proportional to 645.06, 966.69 and 279.48 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 966.69 = 279.48 : x
  2. Step 2: Convert to fraction form
    645.06/966.69 = 279.48/x
  3. Step 3: Cross multiply
    645.06x = 966.69 × 279.48
  4. Step 4: Simplify right side
    645.06x = 270,170.52
  5. Step 5: Solve for x
    x = 270,170.52/645.06
  6. Step 6: Final answer
    x = 418.83

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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.