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Finding the Fourth Proportional to 479.80, 662.04 and 269.96

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Solution

The fourth proportional to 479.80, 662.04 and 269.96 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.80 : 662.04 = 269.96 : x
  2. Step 2: Convert to fraction form
    479.80/662.04 = 269.96/x
  3. Step 3: Cross multiply
    479.80x = 662.04 × 269.96
  4. Step 4: Simplify right side
    479.80x = 178,724.32
  5. Step 5: Solve for x
    x = 178,724.32/479.80
  6. Step 6: Final answer
    x = 372.50

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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.