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Finding the Fourth Proportional to 484.68, 668.79 and 288.27

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Solution

The fourth proportional to 484.68, 668.79 and 288.27 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.68 : 668.79 = 288.27 : x
  2. Step 2: Convert to fraction form
    484.68/668.79 = 288.27/x
  3. Step 3: Cross multiply
    484.68x = 668.79 × 288.27
  4. Step 4: Simplify right side
    484.68x = 192,792.09
  5. Step 5: Solve for x
    x = 192,792.09/484.68
  6. Step 6: Final answer
    x = 397.77

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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.