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Finding the Fourth Proportional to 414.12, 571.56 and 258.78

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Solution

The fourth proportional to 414.12, 571.56 and 258.78 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 571.56 = 258.78 : x
  2. Step 2: Convert to fraction form
    414.12/571.56 = 258.78/x
  3. Step 3: Cross multiply
    414.12x = 571.56 × 258.78
  4. Step 4: Simplify right side
    414.12x = 147,908.30
  5. Step 5: Solve for x
    x = 147,908.30/414.12
  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.