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Finding the Fourth Proportional to 416.41, 574.37 and 250.67

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Solution

The fourth proportional to 416.41, 574.37 and 250.67 is: 345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.41 : 574.37 = 250.67 : x
  2. Step 2: Convert to fraction form
    416.41/574.37 = 250.67/x
  3. Step 3: Cross multiply
    416.41x = 574.37 × 250.67
  4. Step 4: Simplify right side
    416.41x = 143,977.33
  5. Step 5: Solve for x
    x = 143,977.33/416.41
  6. Step 6: Final answer
    x = 345.76

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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.