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Finding the Fourth Proportional to 546.69, 820 and 222.05

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Solution

The fourth proportional to 546.69, 820 and 222.05 is: 333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.69 : 820 = 222.05 : x
  2. Step 2: Convert to fraction form
    546.69/820 = 222.05/x
  3. Step 3: Cross multiply
    546.69x = 820 × 222.05
  4. Step 4: Simplify right side
    546.69x = 182,079.98
  5. Step 5: Solve for x
    x = 182,079.98/546.69
  6. Step 6: Final answer
    x = 333.06

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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.