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Finding the Fourth Proportional to 397.06, 547.88 and 222.38

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Solution

The fourth proportional to 397.06, 547.88 and 222.38 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 547.88 = 222.38 : x
  2. Step 2: Convert to fraction form
    397.06/547.88 = 222.38/x
  3. Step 3: Cross multiply
    397.06x = 547.88 × 222.38
  4. Step 4: Simplify right side
    397.06x = 121,837.55
  5. Step 5: Solve for x
    x = 121,837.55/397.06
  6. Step 6: Final answer
    x = 306.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.