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Finding the Fourth Proportional to 353.57, 487.99 and 219.04

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Solution

The fourth proportional to 353.57, 487.99 and 219.04 is: 302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 487.99 = 219.04 : x
  2. Step 2: Convert to fraction form
    353.57/487.99 = 219.04/x
  3. Step 3: Cross multiply
    353.57x = 487.99 × 219.04
  4. Step 4: Simplify right side
    353.57x = 106,889.90
  5. Step 5: Solve for x
    x = 106,889.90/353.57
  6. Step 6: Final answer
    x = 302.32

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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.