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Finding the Fourth Proportional to 417.56, 576.80 and 301.73

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Solution

The fourth proportional to 417.56, 576.80 and 301.73 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 576.80 = 301.73 : x
  2. Step 2: Convert to fraction form
    417.56/576.80 = 301.73/x
  3. Step 3: Cross multiply
    417.56x = 576.80 × 301.73
  4. Step 4: Simplify right side
    417.56x = 174,033.47
  5. Step 5: Solve for x
    x = 174,033.47/417.56
  6. Step 6: Final answer
    x = 416.79

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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.