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Finding the Fourth Proportional to 485.45, 670.22 and 299.12

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Solution

The fourth proportional to 485.45, 670.22 and 299.12 is: 412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.45 : 670.22 = 299.12 : x
  2. Step 2: Convert to fraction form
    485.45/670.22 = 299.12/x
  3. Step 3: Cross multiply
    485.45x = 670.22 × 299.12
  4. Step 4: Simplify right side
    485.45x = 200,471.36
  5. Step 5: Solve for x
    x = 200,471.36/485.45
  6. Step 6: Final answer
    x = 412.96

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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.