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Finding the Fourth Proportional to 484.46, 668.62 and 288.04

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Solution

The fourth proportional to 484.46, 668.62 and 288.04 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 668.62 = 288.04 : x
  2. Step 2: Convert to fraction form
    484.46/668.62 = 288.04/x
  3. Step 3: Cross multiply
    484.46x = 668.62 × 288.04
  4. Step 4: Simplify right side
    484.46x = 192,589.30
  5. Step 5: Solve for x
    x = 192,589.30/484.46
  6. Step 6: Final answer
    x = 397.53

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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.