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Finding the Fourth Proportional to 353.72, 488.24 and 213.84

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Solution

The fourth proportional to 353.72, 488.24 and 213.84 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 488.24 = 213.84 : x
  2. Step 2: Convert to fraction form
    353.72/488.24 = 213.84/x
  3. Step 3: Cross multiply
    353.72x = 488.24 × 213.84
  4. Step 4: Simplify right side
    353.72x = 104,405.24
  5. Step 5: Solve for x
    x = 104,405.24/353.72
  6. Step 6: Final answer
    x = 295.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.