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Finding the Fourth Proportional to 484.52, 668.64 and 288.12

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Solution

The fourth proportional to 484.52, 668.64 and 288.12 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.52 : 668.64 = 288.12 : x
  2. Step 2: Convert to fraction form
    484.52/668.64 = 288.12/x
  3. Step 3: Cross multiply
    484.52x = 668.64 × 288.12
  4. Step 4: Simplify right side
    484.52x = 192,648.56
  5. Step 5: Solve for x
    x = 192,648.56/484.52
  6. Step 6: Final answer
    x = 397.61

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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.