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Finding the Fourth Proportional to 416.41, 574.49 and 258.88

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Solution

The fourth proportional to 416.41, 574.49 and 258.88 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.41 : 574.49 = 258.88 : x
  2. Step 2: Convert to fraction form
    416.41/574.49 = 258.88/x
  3. Step 3: Cross multiply
    416.41x = 574.49 × 258.88
  4. Step 4: Simplify right side
    416.41x = 148,724.26
  5. Step 5: Solve for x
    x = 148,724.26/416.41
  6. Step 6: Final answer
    x = 357.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.