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Finding the Fourth Proportional to 390.92, 585.61 and 217.31

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Solution

The fourth proportional to 390.92, 585.61 and 217.31 is: 325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 585.61 = 217.31 : x
  2. Step 2: Convert to fraction form
    390.92/585.61 = 217.31/x
  3. Step 3: Cross multiply
    390.92x = 585.61 × 217.31
  4. Step 4: Simplify right side
    390.92x = 127,257.82
  5. Step 5: Solve for x
    x = 127,257.82/390.92
  6. Step 6: Final answer
    x = 325.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.