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Finding the Fourth Proportional to 288.56, 398.30 and 205.88

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Solution

The fourth proportional to 288.56, 398.30 and 205.88 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 398.30 = 205.88 : x
  2. Step 2: Convert to fraction form
    288.56/398.30 = 205.88/x
  3. Step 3: Cross multiply
    288.56x = 398.30 × 205.88
  4. Step 4: Simplify right side
    288.56x = 81,998.98
  5. Step 5: Solve for x
    x = 81,998.98/288.56
  6. Step 6: Final answer
    x = 284.17

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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.