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Finding the Fourth Proportional to 416.09, 574.16 and 258.82

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Solution

The fourth proportional to 416.09, 574.16 and 258.82 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 574.16 = 258.82 : x
  2. Step 2: Convert to fraction form
    416.09/574.16 = 258.82/x
  3. Step 3: Cross multiply
    416.09x = 574.16 × 258.82
  4. Step 4: Simplify right side
    416.09x = 148,601.36
  5. Step 5: Solve for x
    x = 148,601.36/416.09
  6. Step 6: Final answer
    x = 357.14

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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.