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Finding the Fourth Proportional to 484.57, 668.71 and 285.41

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Solution

The fourth proportional to 484.57, 668.71 and 285.41 is: 393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.57 : 668.71 = 285.41 : x
  2. Step 2: Convert to fraction form
    484.57/668.71 = 285.41/x
  3. Step 3: Cross multiply
    484.57x = 668.71 × 285.41
  4. Step 4: Simplify right side
    484.57x = 190,855.59
  5. Step 5: Solve for x
    x = 190,855.59/484.57
  6. Step 6: Final answer
    x = 393.86

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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.