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Finding the Fourth Proportional to 353.05, 487.02 and 213.09

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Solution

The fourth proportional to 353.05, 487.02 and 213.09 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.05 : 487.02 = 213.09 : x
  2. Step 2: Convert to fraction form
    353.05/487.02 = 213.09/x
  3. Step 3: Cross multiply
    353.05x = 487.02 × 213.09
  4. Step 4: Simplify right side
    353.05x = 103,779.09
  5. Step 5: Solve for x
    x = 103,779.09/353.05
  6. Step 6: Final answer
    x = 293.95

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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.