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Finding the Fourth Proportional to 353.57, 487.92 and 213.64

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Solution

The fourth proportional to 353.57, 487.92 and 213.64 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 487.92 = 213.64 : x
  2. Step 2: Convert to fraction form
    353.57/487.92 = 213.64/x
  3. Step 3: Cross multiply
    353.57x = 487.92 × 213.64
  4. Step 4: Simplify right side
    353.57x = 104,238.81
  5. Step 5: Solve for x
    x = 104,238.81/353.57
  6. Step 6: Final answer
    x = 294.82

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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.