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Finding the Fourth Proportional to 485.75, 670.12 and 299.09

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Solution

The fourth proportional to 485.75, 670.12 and 299.09 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.75 : 670.12 = 299.09 : x
  2. Step 2: Convert to fraction form
    485.75/670.12 = 299.09/x
  3. Step 3: Cross multiply
    485.75x = 670.12 × 299.09
  4. Step 4: Simplify right side
    485.75x = 200,428.80
  5. Step 5: Solve for x
    x = 200,428.80/485.75
  6. Step 6: Final answer
    x = 412.62

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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.