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Finding the Fourth Proportional to 489.13, 733.11 and 214.64

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Solution

The fourth proportional to 489.13, 733.11 and 214.64 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.13 : 733.11 = 214.64 : x
  2. Step 2: Convert to fraction form
    489.13/733.11 = 214.64/x
  3. Step 3: Cross multiply
    489.13x = 733.11 × 214.64
  4. Step 4: Simplify right side
    489.13x = 157,357.31
  5. Step 5: Solve for x
    x = 157,357.31/489.13
  6. Step 6: Final answer
    x = 321.71

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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.