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Finding the Fourth Proportional to 354.71, 531.75 and 217.82

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Solution

The fourth proportional to 354.71, 531.75 and 217.82 is: 326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 531.75 = 217.82 : x
  2. Step 2: Convert to fraction form
    354.71/531.75 = 217.82/x
  3. Step 3: Cross multiply
    354.71x = 531.75 × 217.82
  4. Step 4: Simplify right side
    354.71x = 115,825.79
  5. Step 5: Solve for x
    x = 115,825.79/354.71
  6. Step 6: Final answer
    x = 326.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.