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Finding the Fourth Proportional to 415.97, 574.05 and 258.60

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Solution

The fourth proportional to 415.97, 574.05 and 258.60 is: 356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.97 : 574.05 = 258.60 : x
  2. Step 2: Convert to fraction form
    415.97/574.05 = 258.60/x
  3. Step 3: Cross multiply
    415.97x = 574.05 × 258.60
  4. Step 4: Simplify right side
    415.97x = 148,449.33
  5. Step 5: Solve for x
    x = 148,449.33/415.97
  6. Step 6: Final answer
    x = 356.88

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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.