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Finding the Fourth Proportional to 483.20, 666.56 and 296.73

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Solution

The fourth proportional to 483.20, 666.56 and 296.73 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.20 : 666.56 = 296.73 : x
  2. Step 2: Convert to fraction form
    483.20/666.56 = 296.73/x
  3. Step 3: Cross multiply
    483.20x = 666.56 × 296.73
  4. Step 4: Simplify right side
    483.20x = 197,789.09
  5. Step 5: Solve for x
    x = 197,789.09/483.20
  6. Step 6: Final answer
    x = 409.33

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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.