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Finding the Fourth Proportional to 485.50, 670.11 and 299.11

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Solution

The fourth proportional to 485.50, 670.11 and 299.11 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.50 : 670.11 = 299.11 : x
  2. Step 2: Convert to fraction form
    485.50/670.11 = 299.11/x
  3. Step 3: Cross multiply
    485.50x = 670.11 × 299.11
  4. Step 4: Simplify right side
    485.50x = 200,436.60
  5. Step 5: Solve for x
    x = 200,436.60/485.50
  6. Step 6: Final answer
    x = 412.85

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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.