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Finding the Fourth Proportional to 416.37, 574.48 and 305.65

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Solution

The fourth proportional to 416.37, 574.48 and 305.65 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 574.48 = 305.65 : x
  2. Step 2: Convert to fraction form
    416.37/574.48 = 305.65/x
  3. Step 3: Cross multiply
    416.37x = 574.48 × 305.65
  4. Step 4: Simplify right side
    416.37x = 175,586.94
  5. Step 5: Solve for x
    x = 175,586.94/416.37
  6. Step 6: Final answer
    x = 421.71

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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.