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Finding the Fourth Proportional to 416.92, 575.94 and 301.09

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Solution

The fourth proportional to 416.92, 575.94 and 301.09 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 575.94 = 301.09 : x
  2. Step 2: Convert to fraction form
    416.92/575.94 = 301.09/x
  3. Step 3: Cross multiply
    416.92x = 575.94 × 301.09
  4. Step 4: Simplify right side
    416.92x = 173,410.46
  5. Step 5: Solve for x
    x = 173,410.46/416.92
  6. Step 6: Final answer
    x = 415.93

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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.