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Finding the Fourth Proportional to 417.62, 576.36 and 355.73

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Solution

The fourth proportional to 417.62, 576.36 and 355.73 is: 490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.62 : 576.36 = 355.73 : x
  2. Step 2: Convert to fraction form
    417.62/576.36 = 355.73/x
  3. Step 3: Cross multiply
    417.62x = 576.36 × 355.73
  4. Step 4: Simplify right side
    417.62x = 205,025.66
  5. Step 5: Solve for x
    x = 205,025.66/417.62
  6. Step 6: Final answer
    x = 490.94

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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.