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Finding the Fourth Proportional to 416.12, 574.41 and 258.79

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Solution

The fourth proportional to 416.12, 574.41 and 258.79 is: 357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 574.41 = 258.79 : x
  2. Step 2: Convert to fraction form
    416.12/574.41 = 258.79/x
  3. Step 3: Cross multiply
    416.12x = 574.41 × 258.79
  4. Step 4: Simplify right side
    416.12x = 148,651.56
  5. Step 5: Solve for x
    x = 148,651.56/416.12
  6. Step 6: Final answer
    x = 357.23

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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.