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Finding the Fourth Proportional to 258.56, 390.08 and 252.16

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Solution

The fourth proportional to 258.56, 390.08 and 252.16 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.56 : 390.08 = 252.16 : x
  2. Step 2: Convert to fraction form
    258.56/390.08 = 252.16/x
  3. Step 3: Cross multiply
    258.56x = 390.08 × 252.16
  4. Step 4: Simplify right side
    258.56x = 98,362.57
  5. Step 5: Solve for x
    x = 98,362.57/258.56
  6. Step 6: Final answer
    x = 380.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.