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Finding the Fourth Proportional to 484.62, 668.44 and 288.20

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Solution

The fourth proportional to 484.62, 668.44 and 288.20 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.62 : 668.44 = 288.20 : x
  2. Step 2: Convert to fraction form
    484.62/668.44 = 288.20/x
  3. Step 3: Cross multiply
    484.62x = 668.44 × 288.20
  4. Step 4: Simplify right side
    484.62x = 192,644.41
  5. Step 5: Solve for x
    x = 192,644.41/484.62
  6. Step 6: Final answer
    x = 397.52

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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.