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Finding the Fourth Proportional to 479.80, 662.20 and 302.88

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Solution

The fourth proportional to 479.80, 662.20 and 302.88 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.80 : 662.20 = 302.88 : x
  2. Step 2: Convert to fraction form
    479.80/662.20 = 302.88/x
  3. Step 3: Cross multiply
    479.80x = 662.20 × 302.88
  4. Step 4: Simplify right side
    479.80x = 200,567.14
  5. Step 5: Solve for x
    x = 200,567.14/479.80
  6. Step 6: Final answer
    x = 418.02

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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.