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Finding the Fourth Proportional to 485.73, 670.36 and 299.18

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Solution

The fourth proportional to 485.73, 670.36 and 299.18 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.73 : 670.36 = 299.18 : x
  2. Step 2: Convert to fraction form
    485.73/670.36 = 299.18/x
  3. Step 3: Cross multiply
    485.73x = 670.36 × 299.18
  4. Step 4: Simplify right side
    485.73x = 200,558.30
  5. Step 5: Solve for x
    x = 200,558.30/485.73
  6. Step 6: Final answer
    x = 412.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.