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Finding the Fourth Proportional to 323.79, 485.69 and 214.31

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Solution

The fourth proportional to 323.79, 485.69 and 214.31 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.79 : 485.69 = 214.31 : x
  2. Step 2: Convert to fraction form
    323.79/485.69 = 214.31/x
  3. Step 3: Cross multiply
    323.79x = 485.69 × 214.31
  4. Step 4: Simplify right side
    323.79x = 104,088.22
  5. Step 5: Solve for x
    x = 104,088.22/323.79
  6. Step 6: Final answer
    x = 321.47

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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.