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Finding the Fourth Proportional to 322.16, 484.16 and 214.63

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Solution

The fourth proportional to 322.16, 484.16 and 214.63 is: 322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 484.16 = 214.63 : x
  2. Step 2: Convert to fraction form
    322.16/484.16 = 214.63/x
  3. Step 3: Cross multiply
    322.16x = 484.16 × 214.63
  4. Step 4: Simplify right side
    322.16x = 103,912.98
  5. Step 5: Solve for x
    x = 103,912.98/322.16
  6. Step 6: Final answer
    x = 322.56

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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.