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Finding the Fourth Proportional to 416.54, 574.22 and 291.82

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Solution

The fourth proportional to 416.54, 574.22 and 291.82 is: 402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 574.22 = 291.82 : x
  2. Step 2: Convert to fraction form
    416.54/574.22 = 291.82/x
  3. Step 3: Cross multiply
    416.54x = 574.22 × 291.82
  4. Step 4: Simplify right side
    416.54x = 167,568.88
  5. Step 5: Solve for x
    x = 167,568.88/416.54
  6. Step 6: Final answer
    x = 402.29

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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.