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Finding the Fourth Proportional to 709.24, 979.20 and 485.44

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Solution

The fourth proportional to 709.24, 979.20 and 485.44 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 979.20 = 485.44 : x
  2. Step 2: Convert to fraction form
    709.24/979.20 = 485.44/x
  3. Step 3: Cross multiply
    709.24x = 979.20 × 485.44
  4. Step 4: Simplify right side
    709.24x = 475,342.85
  5. Step 5: Solve for x
    x = 475,342.85/709.24
  6. Step 6: Final answer
    x = 670.21

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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.