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Finding the Fourth Proportional to 546.71, 820.16 and 222.09

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Solution

The fourth proportional to 546.71, 820.16 and 222.09 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.71 : 820.16 = 222.09 : x
  2. Step 2: Convert to fraction form
    546.71/820.16 = 222.09/x
  3. Step 3: Cross multiply
    546.71x = 820.16 × 222.09
  4. Step 4: Simplify right side
    546.71x = 182,148.22
  5. Step 5: Solve for x
    x = 182,148.22/546.71
  6. Step 6: Final answer
    x = 333.17

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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.