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Finding the Fourth Proportional to 416.54, 574.89 and 305.96

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Solution

The fourth proportional to 416.54, 574.89 and 305.96 is: 422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 574.89 = 305.96 : x
  2. Step 2: Convert to fraction form
    416.54/574.89 = 305.96/x
  3. Step 3: Cross multiply
    416.54x = 574.89 × 305.96
  4. Step 4: Simplify right side
    416.54x = 175,893.34
  5. Step 5: Solve for x
    x = 175,893.34/416.54
  6. Step 6: Final answer
    x = 422.27

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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.