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Finding the Fourth Proportional to 353.67, 487.71 and 213.81

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Solution

The fourth proportional to 353.67, 487.71 and 213.81 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.67 : 487.71 = 213.81 : x
  2. Step 2: Convert to fraction form
    353.67/487.71 = 213.81/x
  3. Step 3: Cross multiply
    353.67x = 487.71 × 213.81
  4. Step 4: Simplify right side
    353.67x = 104,277.28
  5. Step 5: Solve for x
    x = 104,277.28/353.67
  6. Step 6: Final answer
    x = 294.84

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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.